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Finding the Third Proportional to 261,758 and 564,970

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Solution

The third proportional to 261,758 and 564,970 is: 1,219,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,758 : 564,970 = 564,970 : x
  2. Step 2: Convert to fraction form
    261,758/564,970 = 564,970/x
  3. Step 3: Cross multiply
    261,758x = 564,970 × 564,970
  4. Step 4: Simplify right side
    261,758x = 319,191,100,900
  5. Step 5: Solve for x
    x = 319,191,100,900/261,758
  6. Step 6: Final answer
    x = 1,219,412.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.