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Finding the Third Proportional to 475,624.50 and 652,196.75

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Solution

The third proportional to 475,624.50 and 652,196.75 is: 894,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,624.50 : 652,196.75 = 652,196.75 : x
  2. Step 2: Convert to fraction form
    475,624.50/652,196.75 = 652,196.75/x
  3. Step 3: Cross multiply
    475,624.50x = 652,196.75 × 652,196.75
  4. Step 4: Simplify right side
    475,624.50x = 425,360,600,710.56
  5. Step 5: Solve for x
    x = 425,360,600,710.56/475,624.50
  6. Step 6: Final answer
    x = 894,320.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.