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Finding the Third Proportional to 357,008 and 743,584

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Solution

The third proportional to 357,008 and 743,584 is: 1,548,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,008 : 743,584 = 743,584 : x
  2. Step 2: Convert to fraction form
    357,008/743,584 = 743,584/x
  3. Step 3: Cross multiply
    357,008x = 743,584 × 743,584
  4. Step 4: Simplify right side
    357,008x = 552,917,165,056
  5. Step 5: Solve for x
    x = 552,917,165,056/357,008
  6. Step 6: Final answer
    x = 1,548,752.87

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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.