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Finding the Third Proportional to 337,316.63 and 724,655.25

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Solution

The third proportional to 337,316.63 and 724,655.25 is: 1,556,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,316.63 : 724,655.25 = 724,655.25 : x
  2. Step 2: Convert to fraction form
    337,316.63/724,655.25 = 724,655.25/x
  3. Step 3: Cross multiply
    337,316.63x = 724,655.25 × 724,655.25
  4. Step 4: Simplify right side
    337,316.63x = 525,125,231,352.56
  5. Step 5: Solve for x
    x = 525,125,231,352.56/337,316.63
  6. Step 6: Final answer
    x = 1,556,772.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.