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Finding the Third Proportional to 255,734 and 538,432

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Solution

The third proportional to 255,734 and 538,432 is: 1,133,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,734 : 538,432 = 538,432 : x
  2. Step 2: Convert to fraction form
    255,734/538,432 = 538,432/x
  3. Step 3: Cross multiply
    255,734x = 538,432 × 538,432
  4. Step 4: Simplify right side
    255,734x = 289,909,018,624
  5. Step 5: Solve for x
    x = 289,909,018,624/255,734
  6. Step 6: Final answer
    x = 1,133,635.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.