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Finding the Third Proportional to 504,165 and 781,035

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Solution

The third proportional to 504,165 and 781,035 is: 1,209,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,165 : 781,035 = 781,035 : x
  2. Step 2: Convert to fraction form
    504,165/781,035 = 781,035/x
  3. Step 3: Cross multiply
    504,165x = 781,035 × 781,035
  4. Step 4: Simplify right side
    504,165x = 610,015,671,225
  5. Step 5: Solve for x
    x = 610,015,671,225/504,165
  6. Step 6: Final answer
    x = 1,209,952.44

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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.