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Finding the Third Proportional to 631,320 and 850,588

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Solution

The third proportional to 631,320 and 850,588 is: 1,146,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,320 : 850,588 = 850,588 : x
  2. Step 2: Convert to fraction form
    631,320/850,588 = 850,588/x
  3. Step 3: Cross multiply
    631,320x = 850,588 × 850,588
  4. Step 4: Simplify right side
    631,320x = 723,499,945,744
  5. Step 5: Solve for x
    x = 723,499,945,744/631,320
  6. Step 6: Final answer
    x = 1,146,011.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.