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Finding the Third Proportional to 433,707 and 676,791

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Solution

The third proportional to 433,707 and 676,791 is: 1,056,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,707 : 676,791 = 676,791 : x
  2. Step 2: Convert to fraction form
    433,707/676,791 = 676,791/x
  3. Step 3: Cross multiply
    433,707x = 676,791 × 676,791
  4. Step 4: Simplify right side
    433,707x = 458,046,057,681
  5. Step 5: Solve for x
    x = 458,046,057,681/433,707
  6. Step 6: Final answer
    x = 1,056,118.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.