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Finding the Third Proportional to 265,980 and 569,328

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Solution

The third proportional to 265,980 and 569,328 is: 1,218,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,980 : 569,328 = 569,328 : x
  2. Step 2: Convert to fraction form
    265,980/569,328 = 569,328/x
  3. Step 3: Cross multiply
    265,980x = 569,328 × 569,328
  4. Step 4: Simplify right side
    265,980x = 324,134,371,584
  5. Step 5: Solve for x
    x = 324,134,371,584/265,980
  6. Step 6: Final answer
    x = 1,218,641.90

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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.