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Finding the Third Proportional to 234,871 and 514,629

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Solution

The third proportional to 234,871 and 514,629 is: 1,127,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,871 : 514,629 = 514,629 : x
  2. Step 2: Convert to fraction form
    234,871/514,629 = 514,629/x
  3. Step 3: Cross multiply
    234,871x = 514,629 × 514,629
  4. Step 4: Simplify right side
    234,871x = 264,843,007,641
  5. Step 5: Solve for x
    x = 264,843,007,641/234,871
  6. Step 6: Final answer
    x = 1,127,610.51

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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.