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Finding the Third Proportional to 526,738 and 788,663

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Solution

The third proportional to 526,738 and 788,663 is: 1,180,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,738 : 788,663 = 788,663 : x
  2. Step 2: Convert to fraction form
    526,738/788,663 = 788,663/x
  3. Step 3: Cross multiply
    526,738x = 788,663 × 788,663
  4. Step 4: Simplify right side
    526,738x = 621,989,327,569
  5. Step 5: Solve for x
    x = 621,989,327,569/526,738
  6. Step 6: Final answer
    x = 1,180,832.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.