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Finding the Third Proportional to 337,273.50 and 722,364

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Solution

The third proportional to 337,273.50 and 722,364 is: 1,547,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,273.50 : 722,364 = 722,364 : x
  2. Step 2: Convert to fraction form
    337,273.50/722,364 = 722,364/x
  3. Step 3: Cross multiply
    337,273.50x = 722,364 × 722,364
  4. Step 4: Simplify right side
    337,273.50x = 521,809,748,496
  5. Step 5: Solve for x
    x = 521,809,748,496/337,273.50
  6. Step 6: Final answer
    x = 1,547,141.26

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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.