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Finding the Third Proportional to 234,567 and 514,804

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Solution

The third proportional to 234,567 and 514,804 is: 1,129,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,567 : 514,804 = 514,804 : x
  2. Step 2: Convert to fraction form
    234,567/514,804 = 514,804/x
  3. Step 3: Cross multiply
    234,567x = 514,804 × 514,804
  4. Step 4: Simplify right side
    234,567x = 265,023,158,416
  5. Step 5: Solve for x
    x = 265,023,158,416/234,567
  6. Step 6: Final answer
    x = 1,129,839.91

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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.