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Finding the Third Proportional to 255,192 and 536,507

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Solution

The third proportional to 255,192 and 536,507 is: 1,127,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,192 : 536,507 = 536,507 : x
  2. Step 2: Convert to fraction form
    255,192/536,507 = 536,507/x
  3. Step 3: Cross multiply
    255,192x = 536,507 × 536,507
  4. Step 4: Simplify right side
    255,192x = 287,839,761,049
  5. Step 5: Solve for x
    x = 287,839,761,049/255,192
  6. Step 6: Final answer
    x = 1,127,934.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.