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Finding the Third Proportional to 265,982 and 569,332

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Solution

The third proportional to 265,982 and 569,332 is: 1,218,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,982 : 569,332 = 569,332 : x
  2. Step 2: Convert to fraction form
    265,982/569,332 = 569,332/x
  3. Step 3: Cross multiply
    265,982x = 569,332 × 569,332
  4. Step 4: Simplify right side
    265,982x = 324,138,926,224
  5. Step 5: Solve for x
    x = 324,138,926,224/265,982
  6. Step 6: Final answer
    x = 1,218,649.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.