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Finding the Third Proportional to 417,521 and 930,664

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Solution

The third proportional to 417,521 and 930,664 is: 2,074,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,521 : 930,664 = 930,664 : x
  2. Step 2: Convert to fraction form
    417,521/930,664 = 930,664/x
  3. Step 3: Cross multiply
    417,521x = 930,664 × 930,664
  4. Step 4: Simplify right side
    417,521x = 866,135,480,896
  5. Step 5: Solve for x
    x = 866,135,480,896/417,521
  6. Step 6: Final answer
    x = 2,074,471.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.