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Finding the Third Proportional to 504,168 and 781,039.50

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Solution

The third proportional to 504,168 and 781,039.50 is: 1,209,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,168 : 781,039.50 = 781,039.50 : x
  2. Step 2: Convert to fraction form
    504,168/781,039.50 = 781,039.50/x
  3. Step 3: Cross multiply
    504,168x = 781,039.50 × 781,039.50
  4. Step 4: Simplify right side
    504,168x = 610,022,700,560.25
  5. Step 5: Solve for x
    x = 610,022,700,560.25/504,168
  6. Step 6: Final answer
    x = 1,209,959.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.