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Finding the Third Proportional to 265,953 and 569,264

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Solution

The third proportional to 265,953 and 569,264 is: 1,218,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,953 : 569,264 = 569,264 : x
  2. Step 2: Convert to fraction form
    265,953/569,264 = 569,264/x
  3. Step 3: Cross multiply
    265,953x = 569,264 × 569,264
  4. Step 4: Simplify right side
    265,953x = 324,061,501,696
  5. Step 5: Solve for x
    x = 324,061,501,696/265,953
  6. Step 6: Final answer
    x = 1,218,491.62

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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.