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Finding the Third Proportional to 475,844 and 652,494

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Solution

The third proportional to 475,844 and 652,494 is: 894,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,844 : 652,494 = 652,494 : x
  2. Step 2: Convert to fraction form
    475,844/652,494 = 652,494/x
  3. Step 3: Cross multiply
    475,844x = 652,494 × 652,494
  4. Step 4: Simplify right side
    475,844x = 425,748,420,036
  5. Step 5: Solve for x
    x = 425,748,420,036/475,844
  6. Step 6: Final answer
    x = 894,722.68

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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.