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Finding the Third Proportional to 596,220 and 886,221

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Solution

The third proportional to 596,220 and 886,221 is: 1,317,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,220 : 886,221 = 886,221 : x
  2. Step 2: Convert to fraction form
    596,220/886,221 = 886,221/x
  3. Step 3: Cross multiply
    596,220x = 886,221 × 886,221
  4. Step 4: Simplify right side
    596,220x = 785,387,660,841
  5. Step 5: Solve for x
    x = 785,387,660,841/596,220
  6. Step 6: Final answer
    x = 1,317,278.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.