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Finding the Third Proportional to 243,383.48 and 532,574.37

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Solution

The third proportional to 243,383.48 and 532,574.37 is: 1,165,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,383.48 : 532,574.37 = 532,574.37 : x
  2. Step 2: Convert to fraction form
    243,383.48/532,574.37 = 532,574.37/x
  3. Step 3: Cross multiply
    243,383.48x = 532,574.37 × 532,574.37
  4. Step 4: Simplify right side
    243,383.48x = 283,635,456,585.19
  5. Step 5: Solve for x
    x = 283,635,456,585.19/243,383.48
  6. Step 6: Final answer
    x = 1,165,384.98

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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.