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Finding the Third Proportional to 234,870 and 514,627

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Solution

The third proportional to 234,870 and 514,627 is: 1,127,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,870 : 514,627 = 514,627 : x
  2. Step 2: Convert to fraction form
    234,870/514,627 = 514,627/x
  3. Step 3: Cross multiply
    234,870x = 514,627 × 514,627
  4. Step 4: Simplify right side
    234,870x = 264,840,949,129
  5. Step 5: Solve for x
    x = 264,840,949,129/234,870
  6. Step 6: Final answer
    x = 1,127,606.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.