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Finding the Third Proportional to 215,574 and 473,526

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Solution

The third proportional to 215,574 and 473,526 is: 1,040,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,574 : 473,526 = 473,526 : x
  2. Step 2: Convert to fraction form
    215,574/473,526 = 473,526/x
  3. Step 3: Cross multiply
    215,574x = 473,526 × 473,526
  4. Step 4: Simplify right side
    215,574x = 224,226,872,676
  5. Step 5: Solve for x
    x = 224,226,872,676/215,574
  6. Step 6: Final answer
    x = 1,040,138.76

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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.