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Finding the Third Proportional to 386,225.13 and 565,511.38

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Solution

The third proportional to 386,225.13 and 565,511.38 is: 828,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,225.13 : 565,511.38 = 565,511.38 : x
  2. Step 2: Convert to fraction form
    386,225.13/565,511.38 = 565,511.38/x
  3. Step 3: Cross multiply
    386,225.13x = 565,511.38 × 565,511.38
  4. Step 4: Simplify right side
    386,225.13x = 319,803,115,254.39
  5. Step 5: Solve for x
    x = 319,803,115,254.39/386,225.13
  6. Step 6: Final answer
    x = 828,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.