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Finding the Third Proportional to 473,322 and 714,911

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Solution

The third proportional to 473,322 and 714,911 is: 1,079,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,322 : 714,911 = 714,911 : x
  2. Step 2: Convert to fraction form
    473,322/714,911 = 714,911/x
  3. Step 3: Cross multiply
    473,322x = 714,911 × 714,911
  4. Step 4: Simplify right side
    473,322x = 511,097,737,921
  5. Step 5: Solve for x
    x = 511,097,737,921/473,322
  6. Step 6: Final answer
    x = 1,079,809.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.