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Finding the Third Proportional to 382,458.38 and 562,555.13

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Solution

The third proportional to 382,458.38 and 562,555.13 is: 827,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,458.38 : 562,555.13 = 562,555.13 : x
  2. Step 2: Convert to fraction form
    382,458.38/562,555.13 = 562,555.13/x
  3. Step 3: Cross multiply
    382,458.38x = 562,555.13 × 562,555.13
  4. Step 4: Simplify right side
    382,458.38x = 316,468,268,663.77
  5. Step 5: Solve for x
    x = 316,468,268,663.77/382,458.38
  6. Step 6: Final answer
    x = 827,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.