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Finding the Third Proportional to 334,500 and 714,792

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Solution

The third proportional to 334,500 and 714,792 is: 1,527,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,500 : 714,792 = 714,792 : x
  2. Step 2: Convert to fraction form
    334,500/714,792 = 714,792/x
  3. Step 3: Cross multiply
    334,500x = 714,792 × 714,792
  4. Step 4: Simplify right side
    334,500x = 510,927,603,264
  5. Step 5: Solve for x
    x = 510,927,603,264/334,500
  6. Step 6: Final answer
    x = 1,527,436.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.