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Finding the Third Proportional to 498,952.41 and 781,808.63

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Solution

The third proportional to 498,952.41 and 781,808.63 is: 1,225,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,952.41 : 781,808.63 = 781,808.63 : x
  2. Step 2: Convert to fraction form
    498,952.41/781,808.63 = 781,808.63/x
  3. Step 3: Cross multiply
    498,952.41x = 781,808.63 × 781,808.63
  4. Step 4: Simplify right side
    498,952.41x = 611,224,726,124.39
  5. Step 5: Solve for x
    x = 611,224,726,124.39/498,952.41
  6. Step 6: Final answer
    x = 1,225,016.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.