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Finding the Third Proportional to 652,494 and 950,334

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Solution

The third proportional to 652,494 and 950,334 is: 1,384,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,494 : 950,334 = 950,334 : x
  2. Step 2: Convert to fraction form
    652,494/950,334 = 950,334/x
  3. Step 3: Cross multiply
    652,494x = 950,334 × 950,334
  4. Step 4: Simplify right side
    652,494x = 903,134,711,556
  5. Step 5: Solve for x
    x = 903,134,711,556/652,494
  6. Step 6: Final answer
    x = 1,384,127.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.