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Finding the Third Proportional to 372,534 and 559,890

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Solution

The third proportional to 372,534 and 559,890 is: 841,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,534 : 559,890 = 559,890 : x
  2. Step 2: Convert to fraction form
    372,534/559,890 = 559,890/x
  3. Step 3: Cross multiply
    372,534x = 559,890 × 559,890
  4. Step 4: Simplify right side
    372,534x = 313,476,812,100
  5. Step 5: Solve for x
    x = 313,476,812,100/372,534
  6. Step 6: Final answer
    x = 841,471.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.