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Finding the Third Proportional to 633,169.50 and 948,654

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Solution

The third proportional to 633,169.50 and 948,654 is: 1,421,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,169.50 : 948,654 = 948,654 : x
  2. Step 2: Convert to fraction form
    633,169.50/948,654 = 948,654/x
  3. Step 3: Cross multiply
    633,169.50x = 948,654 × 948,654
  4. Step 4: Simplify right side
    633,169.50x = 899,944,411,716
  5. Step 5: Solve for x
    x = 899,944,411,716/633,169.50
  6. Step 6: Final answer
    x = 1,421,332.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.