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Finding the Third Proportional to 541,271 and 756,731

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Solution

The third proportional to 541,271 and 756,731 is: 1,057,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,271 : 756,731 = 756,731 : x
  2. Step 2: Convert to fraction form
    541,271/756,731 = 756,731/x
  3. Step 3: Cross multiply
    541,271x = 756,731 × 756,731
  4. Step 4: Simplify right side
    541,271x = 572,641,806,361
  5. Step 5: Solve for x
    x = 572,641,806,361/541,271
  6. Step 6: Final answer
    x = 1,057,957.67

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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.