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Finding the Third Proportional to 356,924 and 523,468

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Solution

The third proportional to 356,924 and 523,468 is: 767,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,924 : 523,468 = 523,468 : x
  2. Step 2: Convert to fraction form
    356,924/523,468 = 523,468/x
  3. Step 3: Cross multiply
    356,924x = 523,468 × 523,468
  4. Step 4: Simplify right side
    356,924x = 274,018,747,024
  5. Step 5: Solve for x
    x = 274,018,747,024/356,924
  6. Step 6: Final answer
    x = 767,722.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.