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Finding the Third Proportional to 406,112 and 595,310

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Solution

The third proportional to 406,112 and 595,310 is: 872,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,112 : 595,310 = 595,310 : x
  2. Step 2: Convert to fraction form
    406,112/595,310 = 595,310/x
  3. Step 3: Cross multiply
    406,112x = 595,310 × 595,310
  4. Step 4: Simplify right side
    406,112x = 354,393,996,100
  5. Step 5: Solve for x
    x = 354,393,996,100/406,112
  6. Step 6: Final answer
    x = 872,650.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.