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Finding the Third Proportional to 437,352 and 714,156

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Solution

The third proportional to 437,352 and 714,156 is: 1,166,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,352 : 714,156 = 714,156 : x
  2. Step 2: Convert to fraction form
    437,352/714,156 = 714,156/x
  3. Step 3: Cross multiply
    437,352x = 714,156 × 714,156
  4. Step 4: Simplify right side
    437,352x = 510,018,792,336
  5. Step 5: Solve for x
    x = 510,018,792,336/437,352
  6. Step 6: Final answer
    x = 1,166,151.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.