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Finding the Third Proportional to 553,218 and 841,305.75

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Solution

The third proportional to 553,218 and 841,305.75 is: 1,279,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,218 : 841,305.75 = 841,305.75 : x
  2. Step 2: Convert to fraction form
    553,218/841,305.75 = 841,305.75/x
  3. Step 3: Cross multiply
    553,218x = 841,305.75 × 841,305.75
  4. Step 4: Simplify right side
    553,218x = 707,795,364,983.06
  5. Step 5: Solve for x
    x = 707,795,364,983.06/553,218
  6. Step 6: Final answer
    x = 1,279,414.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.