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Finding the Third Proportional to 226,437 and 484,590

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Solution

The third proportional to 226,437 and 484,590 is: 1,037,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,437 : 484,590 = 484,590 : x
  2. Step 2: Convert to fraction form
    226,437/484,590 = 484,590/x
  3. Step 3: Cross multiply
    226,437x = 484,590 × 484,590
  4. Step 4: Simplify right side
    226,437x = 234,827,468,100
  5. Step 5: Solve for x
    x = 234,827,468,100/226,437
  6. Step 6: Final answer
    x = 1,037,054.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.