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Finding the Third Proportional to 362,896 and 564,212

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Solution

The third proportional to 362,896 and 564,212 is: 877,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896 : 564,212 = 564,212 : x
  2. Step 2: Convert to fraction form
    362,896/564,212 = 564,212/x
  3. Step 3: Cross multiply
    362,896x = 564,212 × 564,212
  4. Step 4: Simplify right side
    362,896x = 318,335,180,944
  5. Step 5: Solve for x
    x = 318,335,180,944/362,896
  6. Step 6: Final answer
    x = 877,207.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.