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Finding the Third Proportional to 504,508 and 781,194

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Solution

The third proportional to 504,508 and 781,194 is: 1,209,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,508 : 781,194 = 781,194 : x
  2. Step 2: Convert to fraction form
    504,508/781,194 = 781,194/x
  3. Step 3: Cross multiply
    504,508x = 781,194 × 781,194
  4. Step 4: Simplify right side
    504,508x = 610,264,065,636
  5. Step 5: Solve for x
    x = 610,264,065,636/504,508
  6. Step 6: Final answer
    x = 1,209,622.18

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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.