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Finding the Third Proportional to 385,565.06 and 565,172.44

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Solution

The third proportional to 385,565.06 and 565,172.44 is: 828,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,565.06 : 565,172.44 = 565,172.44 : x
  2. Step 2: Convert to fraction form
    385,565.06/565,172.44 = 565,172.44/x
  3. Step 3: Cross multiply
    385,565.06x = 565,172.44 × 565,172.44
  4. Step 4: Simplify right side
    385,565.06x = 319,419,884,109.69
  5. Step 5: Solve for x
    x = 319,419,884,109.69/385,565.06
  6. Step 6: Final answer
    x = 828,446.13

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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.