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Finding the Third Proportional to 475,697 and 652,308

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Solution

The third proportional to 475,697 and 652,308 is: 894,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,697 : 652,308 = 652,308 : x
  2. Step 2: Convert to fraction form
    475,697/652,308 = 652,308/x
  3. Step 3: Cross multiply
    475,697x = 652,308 × 652,308
  4. Step 4: Simplify right side
    475,697x = 425,505,726,864
  5. Step 5: Solve for x
    x = 425,505,726,864/475,697
  6. Step 6: Final answer
    x = 894,488.99

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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.