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Finding the Third Proportional to 623,944 and 958,452

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Solution

The third proportional to 623,944 and 958,452 is: 1,472,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,944 : 958,452 = 958,452 : x
  2. Step 2: Convert to fraction form
    623,944/958,452 = 958,452/x
  3. Step 3: Cross multiply
    623,944x = 958,452 × 958,452
  4. Step 4: Simplify right side
    623,944x = 918,630,236,304
  5. Step 5: Solve for x
    x = 918,630,236,304/623,944
  6. Step 6: Final answer
    x = 1,472,295.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.