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Finding the Third Proportional to 498,966.75 and 781,827.75

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Solution

The third proportional to 498,966.75 and 781,827.75 is: 1,225,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,966.75 : 781,827.75 = 781,827.75 : x
  2. Step 2: Convert to fraction form
    498,966.75/781,827.75 = 781,827.75/x
  3. Step 3: Cross multiply
    498,966.75x = 781,827.75 × 781,827.75
  4. Step 4: Simplify right side
    498,966.75x = 611,254,630,670.06
  5. Step 5: Solve for x
    x = 611,254,630,670.06/498,966.75
  6. Step 6: Final answer
    x = 1,225,040.81

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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.