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Finding the Third Proportional to 226,368 and 478,440

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Solution

The third proportional to 226,368 and 478,440 is: 1,011,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,368 : 478,440 = 478,440 : x
  2. Step 2: Convert to fraction form
    226,368/478,440 = 478,440/x
  3. Step 3: Cross multiply
    226,368x = 478,440 × 478,440
  4. Step 4: Simplify right side
    226,368x = 228,904,833,600
  5. Step 5: Solve for x
    x = 228,904,833,600/226,368
  6. Step 6: Final answer
    x = 1,011,206.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.