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Finding the Third Proportional to 474,984 and 743,580

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Solution

The third proportional to 474,984 and 743,580 is: 1,164,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984 : 743,580 = 743,580 : x
  2. Step 2: Convert to fraction form
    474,984/743,580 = 743,580/x
  3. Step 3: Cross multiply
    474,984x = 743,580 × 743,580
  4. Step 4: Simplify right side
    474,984x = 552,911,216,400
  5. Step 5: Solve for x
    x = 552,911,216,400/474,984
  6. Step 6: Final answer
    x = 1,164,062.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.