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Finding the Third Proportional to 480,298 and 753,418

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Solution

The third proportional to 480,298 and 753,418 is: 1,181,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,298 : 753,418 = 753,418 : x
  2. Step 2: Convert to fraction form
    480,298/753,418 = 753,418/x
  3. Step 3: Cross multiply
    480,298x = 753,418 × 753,418
  4. Step 4: Simplify right side
    480,298x = 567,638,682,724
  5. Step 5: Solve for x
    x = 567,638,682,724/480,298
  6. Step 6: Final answer
    x = 1,181,846.86

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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.