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Finding the Third Proportional to 475,624 and 652,196

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Solution

The third proportional to 475,624 and 652,196 is: 894,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,624 : 652,196 = 652,196 : x
  2. Step 2: Convert to fraction form
    475,624/652,196 = 652,196/x
  3. Step 3: Cross multiply
    475,624x = 652,196 × 652,196
  4. Step 4: Simplify right side
    475,624x = 425,359,622,416
  5. Step 5: Solve for x
    x = 425,359,622,416/475,624
  6. Step 6: Final answer
    x = 894,319.09

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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.