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Finding the Third Proportional to 352,431 and 567,468

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Solution

The third proportional to 352,431 and 567,468 is: 913,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,431 : 567,468 = 567,468 : x
  2. Step 2: Convert to fraction form
    352,431/567,468 = 567,468/x
  3. Step 3: Cross multiply
    352,431x = 567,468 × 567,468
  4. Step 4: Simplify right side
    352,431x = 322,019,931,024
  5. Step 5: Solve for x
    x = 322,019,931,024/352,431
  6. Step 6: Final answer
    x = 913,710.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.