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Finding the Third Proportional to 286,038 and 564,894

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Solution

The third proportional to 286,038 and 564,894 is: 1,115,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038 : 564,894 = 564,894 : x
  2. Step 2: Convert to fraction form
    286,038/564,894 = 564,894/x
  3. Step 3: Cross multiply
    286,038x = 564,894 × 564,894
  4. Step 4: Simplify right side
    286,038x = 319,105,231,236
  5. Step 5: Solve for x
    x = 319,105,231,236/286,038
  6. Step 6: Final answer
    x = 1,115,604.33

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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.