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Finding the Third Proportional to 340,098.75 and 508,371.19

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Solution

The third proportional to 340,098.75 and 508,371.19 is: 759,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.75 : 508,371.19 = 508,371.19 : x
  2. Step 2: Convert to fraction form
    340,098.75/508,371.19 = 508,371.19/x
  3. Step 3: Cross multiply
    340,098.75x = 508,371.19 × 508,371.19
  4. Step 4: Simplify right side
    340,098.75x = 258,441,264,280.16
  5. Step 5: Solve for x
    x = 258,441,264,280.16/340,098.75
  6. Step 6: Final answer
    x = 759,900.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.