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Finding the Third Proportional to 386,224.88 and 565,511.06

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Solution

The third proportional to 386,224.88 and 565,511.06 is: 828,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,224.88 : 565,511.06 = 565,511.06 : x
  2. Step 2: Convert to fraction form
    386,224.88/565,511.06 = 565,511.06/x
  3. Step 3: Cross multiply
    386,224.88x = 565,511.06 × 565,511.06
  4. Step 4: Simplify right side
    386,224.88x = 319,802,761,809.88
  5. Step 5: Solve for x
    x = 319,802,761,809.88/386,224.88
  6. Step 6: Final answer
    x = 828,022.18

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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.