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Finding the Third Proportional to 259,368 and 564,180

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Solution

The third proportional to 259,368 and 564,180 is: 1,227,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,368 : 564,180 = 564,180 : x
  2. Step 2: Convert to fraction form
    259,368/564,180 = 564,180/x
  3. Step 3: Cross multiply
    259,368x = 564,180 × 564,180
  4. Step 4: Simplify right side
    259,368x = 318,299,072,400
  5. Step 5: Solve for x
    x = 318,299,072,400/259,368
  6. Step 6: Final answer
    x = 1,227,210.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.