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Finding the Third Proportional to 280,956.94 and 614,368.13

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Solution

The third proportional to 280,956.94 and 614,368.13 is: 1,343,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,956.94 : 614,368.13 = 614,368.13 : x
  2. Step 2: Convert to fraction form
    280,956.94/614,368.13 = 614,368.13/x
  3. Step 3: Cross multiply
    280,956.94x = 614,368.13 × 614,368.13
  4. Step 4: Simplify right side
    280,956.94x = 377,448,193,016.02
  5. Step 5: Solve for x
    x = 377,448,193,016.02/280,956.94
  6. Step 6: Final answer
    x = 1,343,437.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.