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Finding the Third Proportional to 286,398 and 565,566

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Solution

The third proportional to 286,398 and 565,566 is: 1,116,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,398 : 565,566 = 565,566 : x
  2. Step 2: Convert to fraction form
    286,398/565,566 = 565,566/x
  3. Step 3: Cross multiply
    286,398x = 565,566 × 565,566
  4. Step 4: Simplify right side
    286,398x = 319,864,900,356
  5. Step 5: Solve for x
    x = 319,864,900,356/286,398
  6. Step 6: Final answer
    x = 1,116,854.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.