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Finding the Third Proportional to 369,564 and 514,896

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Solution

The third proportional to 369,564 and 514,896 is: 717,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,564 : 514,896 = 514,896 : x
  2. Step 2: Convert to fraction form
    369,564/514,896 = 514,896/x
  3. Step 3: Cross multiply
    369,564x = 514,896 × 514,896
  4. Step 4: Simplify right side
    369,564x = 265,117,890,816
  5. Step 5: Solve for x
    x = 265,117,890,816/369,564
  6. Step 6: Final answer
    x = 717,380.19

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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.