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Finding the Third Proportional to 636,838.50 and 865,347

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Solution

The third proportional to 636,838.50 and 865,347 is: 1,175,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,838.50 : 865,347 = 865,347 : x
  2. Step 2: Convert to fraction form
    636,838.50/865,347 = 865,347/x
  3. Step 3: Cross multiply
    636,838.50x = 865,347 × 865,347
  4. Step 4: Simplify right side
    636,838.50x = 748,825,430,409
  5. Step 5: Solve for x
    x = 748,825,430,409/636,838.50
  6. Step 6: Final answer
    x = 1,175,848.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.