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Finding the Third Proportional to 367,060 and 829,895

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Solution

The third proportional to 367,060 and 829,895 is: 1,876,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,060 : 829,895 = 829,895 : x
  2. Step 2: Convert to fraction form
    367,060/829,895 = 829,895/x
  3. Step 3: Cross multiply
    367,060x = 829,895 × 829,895
  4. Step 4: Simplify right side
    367,060x = 688,725,711,025
  5. Step 5: Solve for x
    x = 688,725,711,025/367,060
  6. Step 6: Final answer
    x = 1,876,330.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.