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Finding the Third Proportional to 409,029 and 878,776.50

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Solution

The third proportional to 409,029 and 878,776.50 is: 1,888,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,029 : 878,776.50 = 878,776.50 : x
  2. Step 2: Convert to fraction form
    409,029/878,776.50 = 878,776.50/x
  3. Step 3: Cross multiply
    409,029x = 878,776.50 × 878,776.50
  4. Step 4: Simplify right side
    409,029x = 772,248,136,952.25
  5. Step 5: Solve for x
    x = 772,248,136,952.25/409,029
  6. Step 6: Final answer
    x = 1,888,003.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.