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Finding the Third Proportional to 369,567 and 514,900

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Solution

The third proportional to 369,567 and 514,900 is: 717,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,567 : 514,900 = 514,900 : x
  2. Step 2: Convert to fraction form
    369,567/514,900 = 514,900/x
  3. Step 3: Cross multiply
    369,567x = 514,900 × 514,900
  4. Step 4: Simplify right side
    369,567x = 265,122,010,000
  5. Step 5: Solve for x
    x = 265,122,010,000/369,567
  6. Step 6: Final answer
    x = 717,385.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.