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Finding the Third Proportional to 636,732 and 963,294

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Solution

The third proportional to 636,732 and 963,294 is: 1,457,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,732 : 963,294 = 963,294 : x
  2. Step 2: Convert to fraction form
    636,732/963,294 = 963,294/x
  3. Step 3: Cross multiply
    636,732x = 963,294 × 963,294
  4. Step 4: Simplify right side
    636,732x = 927,935,330,436
  5. Step 5: Solve for x
    x = 927,935,330,436/636,732
  6. Step 6: Final answer
    x = 1,457,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.