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Finding the Third Proportional to 286,384 and 565,537

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Solution

The third proportional to 286,384 and 565,537 is: 1,116,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,384 : 565,537 = 565,537 : x
  2. Step 2: Convert to fraction form
    286,384/565,537 = 565,537/x
  3. Step 3: Cross multiply
    286,384x = 565,537 × 565,537
  4. Step 4: Simplify right side
    286,384x = 319,832,098,369
  5. Step 5: Solve for x
    x = 319,832,098,369/286,384
  6. Step 6: Final answer
    x = 1,116,794.58

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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.