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Finding the Third Proportional to 337,507.88 and 712,948.50

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Solution

The third proportional to 337,507.88 and 712,948.50 is: 1,506,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,507.88 : 712,948.50 = 712,948.50 : x
  2. Step 2: Convert to fraction form
    337,507.88/712,948.50 = 712,948.50/x
  3. Step 3: Cross multiply
    337,507.88x = 712,948.50 × 712,948.50
  4. Step 4: Simplify right side
    337,507.88x = 508,295,563,652.25
  5. Step 5: Solve for x
    x = 508,295,563,652.25/337,507.88
  6. Step 6: Final answer
    x = 1,506,025.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.