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Finding the Third Proportional to 419,416.50 and 912,561

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Solution

The third proportional to 419,416.50 and 912,561 is: 1,985,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,416.50 : 912,561 = 912,561 : x
  2. Step 2: Convert to fraction form
    419,416.50/912,561 = 912,561/x
  3. Step 3: Cross multiply
    419,416.50x = 912,561 × 912,561
  4. Step 4: Simplify right side
    419,416.50x = 832,767,578,721
  5. Step 5: Solve for x
    x = 832,767,578,721/419,416.50
  6. Step 6: Final answer
    x = 1,985,538.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.