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Finding the Third Proportional to 504,175 and 781,050

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Solution

The third proportional to 504,175 and 781,050 is: 1,209,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,175 : 781,050 = 781,050 : x
  2. Step 2: Convert to fraction form
    504,175/781,050 = 781,050/x
  3. Step 3: Cross multiply
    504,175x = 781,050 × 781,050
  4. Step 4: Simplify right side
    504,175x = 610,039,102,500
  5. Step 5: Solve for x
    x = 610,039,102,500/504,175
  6. Step 6: Final answer
    x = 1,209,974.91

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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.