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Finding the Third Proportional to 259,924 and 569,492

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Solution

The third proportional to 259,924 and 569,492 is: 1,247,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,924 : 569,492 = 569,492 : x
  2. Step 2: Convert to fraction form
    259,924/569,492 = 569,492/x
  3. Step 3: Cross multiply
    259,924x = 569,492 × 569,492
  4. Step 4: Simplify right side
    259,924x = 324,321,138,064
  5. Step 5: Solve for x
    x = 324,321,138,064/259,924
  6. Step 6: Final answer
    x = 1,247,753.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.