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Finding the Third Proportional to 557,712 and 886,384

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Solution

The third proportional to 557,712 and 886,384 is: 1,408,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,712 : 886,384 = 886,384 : x
  2. Step 2: Convert to fraction form
    557,712/886,384 = 886,384/x
  3. Step 3: Cross multiply
    557,712x = 886,384 × 886,384
  4. Step 4: Simplify right side
    557,712x = 785,676,595,456
  5. Step 5: Solve for x
    x = 785,676,595,456/557,712
  6. Step 6: Final answer
    x = 1,408,749.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.