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Finding the Third Proportional to 286,088 and 420,374

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Solution

The third proportional to 286,088 and 420,374 is: 617,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,088 : 420,374 = 420,374 : x
  2. Step 2: Convert to fraction form
    286,088/420,374 = 420,374/x
  3. Step 3: Cross multiply
    286,088x = 420,374 × 420,374
  4. Step 4: Simplify right side
    286,088x = 176,714,299,876
  5. Step 5: Solve for x
    x = 176,714,299,876/286,088
  6. Step 6: Final answer
    x = 617,692.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.