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Finding the Third Proportional to 477,283.13 and 1,029,252.75

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Solution

The third proportional to 477,283.13 and 1,029,252.75 is: 2,219,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,283.13 : 1,029,252.75 = 1,029,252.75 : x
  2. Step 2: Convert to fraction form
    477,283.13/1,029,252.75 = 1,029,252.75/x
  3. Step 3: Cross multiply
    477,283.13x = 1,029,252.75 × 1,029,252.75
  4. Step 4: Simplify right side
    477,283.13x = 1,059,361,223,382.56
  5. Step 5: Solve for x
    x = 1,059,361,223,382.56/477,283.13
  6. Step 6: Final answer
    x = 2,219,565.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.