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Finding the Third Proportional to 472,957 and 714,344

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Solution

The third proportional to 472,957 and 714,344 is: 1,078,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,957 : 714,344 = 714,344 : x
  2. Step 2: Convert to fraction form
    472,957/714,344 = 714,344/x
  3. Step 3: Cross multiply
    472,957x = 714,344 × 714,344
  4. Step 4: Simplify right side
    472,957x = 510,287,350,336
  5. Step 5: Solve for x
    x = 510,287,350,336/472,957
  6. Step 6: Final answer
    x = 1,078,929.69

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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.