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Finding the Third Proportional to 369,566 and 514,898

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Solution

The third proportional to 369,566 and 514,898 is: 717,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,566 : 514,898 = 514,898 : x
  2. Step 2: Convert to fraction form
    369,566/514,898 = 514,898/x
  3. Step 3: Cross multiply
    369,566x = 514,898 × 514,898
  4. Step 4: Simplify right side
    369,566x = 265,119,950,404
  5. Step 5: Solve for x
    x = 265,119,950,404/369,566
  6. Step 6: Final answer
    x = 717,381.88

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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.