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Finding the Third Proportional to 265,952 and 569,262

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Solution

The third proportional to 265,952 and 569,262 is: 1,218,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,952 : 569,262 = 569,262 : x
  2. Step 2: Convert to fraction form
    265,952/569,262 = 569,262/x
  3. Step 3: Cross multiply
    265,952x = 569,262 × 569,262
  4. Step 4: Simplify right side
    265,952x = 324,059,224,644
  5. Step 5: Solve for x
    x = 324,059,224,644/265,952
  6. Step 6: Final answer
    x = 1,218,487.64

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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.