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Finding the Third Proportional to 458,449,419.38 and 714,914,672.06

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Solution

The third proportional to 458,449,419.38 and 714,914,672.06 is: 1,114,851,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,449,419.38 : 714,914,672.06 = 714,914,672.06 : x
  2. Step 2: Convert to fraction form
    458,449,419.38/714,914,672.06 = 714,914,672.06/x
  3. Step 3: Cross multiply
    458,449,419.38x = 714,914,672.06 × 714,914,672.06
  4. Step 4: Simplify right side
    458,449,419.38x = 511,102,988,330,231,936
  5. Step 5: Solve for x
    x = 511,102,988,330,231,936/458,449,419.38
  6. Step 6: Final answer
    x = 1,114,851,424.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.