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Finding the Third Proportional to 623,738 and 965,416

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Solution

The third proportional to 623,738 and 965,416 is: 1,494,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,738 : 965,416 = 965,416 : x
  2. Step 2: Convert to fraction form
    623,738/965,416 = 965,416/x
  3. Step 3: Cross multiply
    623,738x = 965,416 × 965,416
  4. Step 4: Simplify right side
    623,738x = 932,028,053,056
  5. Step 5: Solve for x
    x = 932,028,053,056/623,738
  6. Step 6: Final answer
    x = 1,494,262.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.