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Finding the Third Proportional to 560,306.50 and 838,479.50

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Solution

The third proportional to 560,306.50 and 838,479.50 is: 1,254,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,306.50 : 838,479.50 = 838,479.50 : x
  2. Step 2: Convert to fraction form
    560,306.50/838,479.50 = 838,479.50/x
  3. Step 3: Cross multiply
    560,306.50x = 838,479.50 × 838,479.50
  4. Step 4: Simplify right side
    560,306.50x = 703,047,871,920.25
  5. Step 5: Solve for x
    x = 703,047,871,920.25/560,306.50
  6. Step 6: Final answer
    x = 1,254,755.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.