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Finding the Third Proportional to 581,377.50 and 1,233,117

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Solution

The third proportional to 581,377.50 and 1,233,117 is: 2,615,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,377.50 : 1,233,117 = 1,233,117 : x
  2. Step 2: Convert to fraction form
    581,377.50/1,233,117 = 1,233,117/x
  3. Step 3: Cross multiply
    581,377.50x = 1,233,117 × 1,233,117
  4. Step 4: Simplify right side
    581,377.50x = 1,520,577,535,689
  5. Step 5: Solve for x
    x = 1,520,577,535,689/581,377.50
  6. Step 6: Final answer
    x = 2,615,473.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.