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Finding the Third Proportional to 433,712 and 676,799

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Solution

The third proportional to 433,712 and 676,799 is: 1,056,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,712 : 676,799 = 676,799 : x
  2. Step 2: Convert to fraction form
    433,712/676,799 = 676,799/x
  3. Step 3: Cross multiply
    433,712x = 676,799 × 676,799
  4. Step 4: Simplify right side
    433,712x = 458,056,886,401
  5. Step 5: Solve for x
    x = 458,056,886,401/433,712
  6. Step 6: Final answer
    x = 1,056,131.46

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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.