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Finding the Third Proportional to 234,583 and 514,831

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Solution

The third proportional to 234,583 and 514,831 is: 1,129,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,583 : 514,831 = 514,831 : x
  2. Step 2: Convert to fraction form
    234,583/514,831 = 514,831/x
  3. Step 3: Cross multiply
    234,583x = 514,831 × 514,831
  4. Step 4: Simplify right side
    234,583x = 265,050,958,561
  5. Step 5: Solve for x
    x = 265,050,958,561/234,583
  6. Step 6: Final answer
    x = 1,129,881.36

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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.