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Finding the Third Proportional to 337,113 and 722,203.50

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Solution

The third proportional to 337,113 and 722,203.50 is: 1,547,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,113 : 722,203.50 = 722,203.50 : x
  2. Step 2: Convert to fraction form
    337,113/722,203.50 = 722,203.50/x
  3. Step 3: Cross multiply
    337,113x = 722,203.50 × 722,203.50
  4. Step 4: Simplify right side
    337,113x = 521,577,895,412.25
  5. Step 5: Solve for x
    x = 521,577,895,412.25/337,113
  6. Step 6: Final answer
    x = 1,547,190.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.