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Finding the Third Proportional to 406,881 and 602,023.50

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Solution

The third proportional to 406,881 and 602,023.50 is: 890,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,881 : 602,023.50 = 602,023.50 : x
  2. Step 2: Convert to fraction form
    406,881/602,023.50 = 602,023.50/x
  3. Step 3: Cross multiply
    406,881x = 602,023.50 × 602,023.50
  4. Step 4: Simplify right side
    406,881x = 362,432,294,552.25
  5. Step 5: Solve for x
    x = 362,432,294,552.25/406,881
  6. Step 6: Final answer
    x = 890,757.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.