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Finding the Third Proportional to 601,642.50 and 902,592

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Solution

The third proportional to 601,642.50 and 902,592 is: 1,354,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,642.50 : 902,592 = 902,592 : x
  2. Step 2: Convert to fraction form
    601,642.50/902,592 = 902,592/x
  3. Step 3: Cross multiply
    601,642.50x = 902,592 × 902,592
  4. Step 4: Simplify right side
    601,642.50x = 814,672,318,464
  5. Step 5: Solve for x
    x = 814,672,318,464/601,642.50
  6. Step 6: Final answer
    x = 1,354,080.40

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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.