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Finding the Third Proportional to 285,359.25 and 442,466.25

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Solution

The third proportional to 285,359.25 and 442,466.25 is: 686,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,359.25 : 442,466.25 = 442,466.25 : x
  2. Step 2: Convert to fraction form
    285,359.25/442,466.25 = 442,466.25/x
  3. Step 3: Cross multiply
    285,359.25x = 442,466.25 × 442,466.25
  4. Step 4: Simplify right side
    285,359.25x = 195,776,382,389.06
  5. Step 5: Solve for x
    x = 195,776,382,389.06/285,359.25
  6. Step 6: Final answer
    x = 686,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.