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Finding the Third Proportional to 225,588 and 457,386

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Solution

The third proportional to 225,588 and 457,386 is: 927,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,588 : 457,386 = 457,386 : x
  2. Step 2: Convert to fraction form
    225,588/457,386 = 457,386/x
  3. Step 3: Cross multiply
    225,588x = 457,386 × 457,386
  4. Step 4: Simplify right side
    225,588x = 209,201,952,996
  5. Step 5: Solve for x
    x = 209,201,952,996/225,588
  6. Step 6: Final answer
    x = 927,362.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.