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Finding the Third Proportional to 386,225.63 and 565,511.63

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Solution

The third proportional to 386,225.63 and 565,511.63 is: 828,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,225.63 : 565,511.63 = 565,511.63 : x
  2. Step 2: Convert to fraction form
    386,225.63/565,511.63 = 565,511.63/x
  3. Step 3: Cross multiply
    386,225.63x = 565,511.63 × 565,511.63
  4. Step 4: Simplify right side
    386,225.63x = 319,803,398,010.14
  5. Step 5: Solve for x
    x = 319,803,398,010.14/386,225.63
  6. Step 6: Final answer
    x = 828,022.22

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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.