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Finding the Third Proportional to 437,295.50 and 657,293.25

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Solution

The third proportional to 437,295.50 and 657,293.25 is: 987,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,295.50 : 657,293.25 = 657,293.25 : x
  2. Step 2: Convert to fraction form
    437,295.50/657,293.25 = 657,293.25/x
  3. Step 3: Cross multiply
    437,295.50x = 657,293.25 × 657,293.25
  4. Step 4: Simplify right side
    437,295.50x = 432,034,416,495.56
  5. Step 5: Solve for x
    x = 432,034,416,495.56/437,295.50
  6. Step 6: Final answer
    x = 987,969.04

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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.