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Finding the Third Proportional to 357,042.50 and 521,880.50

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Solution

The third proportional to 357,042.50 and 521,880.50 is: 762,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,042.50 : 521,880.50 = 521,880.50 : x
  2. Step 2: Convert to fraction form
    357,042.50/521,880.50 = 521,880.50/x
  3. Step 3: Cross multiply
    357,042.50x = 521,880.50 × 521,880.50
  4. Step 4: Simplify right side
    357,042.50x = 272,359,256,280.25
  5. Step 5: Solve for x
    x = 272,359,256,280.25/357,042.50
  6. Step 6: Final answer
    x = 762,820.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.