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Finding the Third Proportional to 357,006 and 743,580

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Solution

The third proportional to 357,006 and 743,580 is: 1,548,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,006 : 743,580 = 743,580 : x
  2. Step 2: Convert to fraction form
    357,006/743,580 = 743,580/x
  3. Step 3: Cross multiply
    357,006x = 743,580 × 743,580
  4. Step 4: Simplify right side
    357,006x = 552,911,216,400
  5. Step 5: Solve for x
    x = 552,911,216,400/357,006
  6. Step 6: Final answer
    x = 1,548,744.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.