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Finding the Third Proportional to 360,625.50 and 571,042.50

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Solution

The third proportional to 360,625.50 and 571,042.50 is: 904,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,625.50 : 571,042.50 = 571,042.50 : x
  2. Step 2: Convert to fraction form
    360,625.50/571,042.50 = 571,042.50/x
  3. Step 3: Cross multiply
    360,625.50x = 571,042.50 × 571,042.50
  4. Step 4: Simplify right side
    360,625.50x = 326,089,536,806.25
  5. Step 5: Solve for x
    x = 326,089,536,806.25/360,625.50
  6. Step 6: Final answer
    x = 904,233.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.