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Finding the Third Proportional to 286,017 and 564,843

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Solution

The third proportional to 286,017 and 564,843 is: 1,115,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,017 : 564,843 = 564,843 : x
  2. Step 2: Convert to fraction form
    286,017/564,843 = 564,843/x
  3. Step 3: Cross multiply
    286,017x = 564,843 × 564,843
  4. Step 4: Simplify right side
    286,017x = 319,047,614,649
  5. Step 5: Solve for x
    x = 319,047,614,649/286,017
  6. Step 6: Final answer
    x = 1,115,484.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.