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Finding the Third Proportional to 318,467 and 750,726

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Solution

The third proportional to 318,467 and 750,726 is: 1,769,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,467 : 750,726 = 750,726 : x
  2. Step 2: Convert to fraction form
    318,467/750,726 = 750,726/x
  3. Step 3: Cross multiply
    318,467x = 750,726 × 750,726
  4. Step 4: Simplify right side
    318,467x = 563,589,527,076
  5. Step 5: Solve for x
    x = 563,589,527,076/318,467
  6. Step 6: Final answer
    x = 1,769,695.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.