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Finding the Third Proportional to 541,417.50 and 756,981

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Solution

The third proportional to 541,417.50 and 756,981 is: 1,058,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,417.50 : 756,981 = 756,981 : x
  2. Step 2: Convert to fraction form
    541,417.50/756,981 = 756,981/x
  3. Step 3: Cross multiply
    541,417.50x = 756,981 × 756,981
  4. Step 4: Simplify right side
    541,417.50x = 573,020,234,361
  5. Step 5: Solve for x
    x = 573,020,234,361/541,417.50
  6. Step 6: Final answer
    x = 1,058,370.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.