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Finding the Third Proportional to 473,044 and 714,462

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Solution

The third proportional to 473,044 and 714,462 is: 1,079,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,044 : 714,462 = 714,462 : x
  2. Step 2: Convert to fraction form
    473,044/714,462 = 714,462/x
  3. Step 3: Cross multiply
    473,044x = 714,462 × 714,462
  4. Step 4: Simplify right side
    473,044x = 510,455,949,444
  5. Step 5: Solve for x
    x = 510,455,949,444/473,044
  6. Step 6: Final answer
    x = 1,079,087.67

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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.