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Finding the Third Proportional to 386,237 and 565,531

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Solution

The third proportional to 386,237 and 565,531 is: 828,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,237 : 565,531 = 565,531 : x
  2. Step 2: Convert to fraction form
    386,237/565,531 = 565,531/x
  3. Step 3: Cross multiply
    386,237x = 565,531 × 565,531
  4. Step 4: Simplify right side
    386,237x = 319,825,311,961
  5. Step 5: Solve for x
    x = 319,825,311,961/386,237
  6. Step 6: Final answer
    x = 828,054.57

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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.