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Finding the Third Proportional to 285,054.19 and 614,293.88

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Solution

The third proportional to 285,054.19 and 614,293.88 is: 1,323,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.19 : 614,293.88 = 614,293.88 : x
  2. Step 2: Convert to fraction form
    285,054.19/614,293.88 = 614,293.88/x
  3. Step 3: Cross multiply
    285,054.19x = 614,293.88 × 614,293.88
  4. Step 4: Simplify right side
    285,054.19x = 377,356,964,862.52
  5. Step 5: Solve for x
    x = 377,356,964,862.52/285,054.19
  6. Step 6: Final answer
    x = 1,323,807.83

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Why These Related Problems?

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