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Finding the Third Proportional to 185,572 and 406,610

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Solution

The third proportional to 185,572 and 406,610 is: 890,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,572 : 406,610 = 406,610 : x
  2. Step 2: Convert to fraction form
    185,572/406,610 = 406,610/x
  3. Step 3: Cross multiply
    185,572x = 406,610 × 406,610
  4. Step 4: Simplify right side
    185,572x = 165,331,692,100
  5. Step 5: Solve for x
    x = 165,331,692,100/185,572
  6. Step 6: Final answer
    x = 890,930.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.