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Finding the Third Proportional to 464,569 and 703,282

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Solution

The third proportional to 464,569 and 703,282 is: 1,064,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,569 : 703,282 = 703,282 : x
  2. Step 2: Convert to fraction form
    464,569/703,282 = 703,282/x
  3. Step 3: Cross multiply
    464,569x = 703,282 × 703,282
  4. Step 4: Simplify right side
    464,569x = 494,605,571,524
  5. Step 5: Solve for x
    x = 494,605,571,524/464,569
  6. Step 6: Final answer
    x = 1,064,654.70

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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.