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Finding the Third Proportional to 217,126 and 478,426

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Solution

The third proportional to 217,126 and 478,426 is: 1,054,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,126 : 478,426 = 478,426 : x
  2. Step 2: Convert to fraction form
    217,126/478,426 = 478,426/x
  3. Step 3: Cross multiply
    217,126x = 478,426 × 478,426
  4. Step 4: Simplify right side
    217,126x = 228,891,437,476
  5. Step 5: Solve for x
    x = 228,891,437,476/217,126
  6. Step 6: Final answer
    x = 1,054,187.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.