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Finding the Third Proportional to 337,088.25 and 722,152.13

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Solution

The third proportional to 337,088.25 and 722,152.13 is: 1,547,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,088.25 : 722,152.13 = 722,152.13 : x
  2. Step 2: Convert to fraction form
    337,088.25/722,152.13 = 722,152.13/x
  3. Step 3: Cross multiply
    337,088.25x = 722,152.13 × 722,152.13
  4. Step 4: Simplify right side
    337,088.25x = 521,503,691,642.02
  5. Step 5: Solve for x
    x = 521,503,691,642.02/337,088.25
  6. Step 6: Final answer
    x = 1,547,083.57

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Why These Related Problems?

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