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Finding the Third Proportional to 346,702 and 517,785

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Solution

The third proportional to 346,702 and 517,785 is: 773,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,702 : 517,785 = 517,785 : x
  2. Step 2: Convert to fraction form
    346,702/517,785 = 517,785/x
  3. Step 3: Cross multiply
    346,702x = 517,785 × 517,785
  4. Step 4: Simplify right side
    346,702x = 268,101,306,225
  5. Step 5: Solve for x
    x = 268,101,306,225/346,702
  6. Step 6: Final answer
    x = 773,290.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.