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Finding the Third Proportional to 480,917 and 750,488

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Solution

The third proportional to 480,917 and 750,488 is: 1,171,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,917 : 750,488 = 750,488 : x
  2. Step 2: Convert to fraction form
    480,917/750,488 = 750,488/x
  3. Step 3: Cross multiply
    480,917x = 750,488 × 750,488
  4. Step 4: Simplify right side
    480,917x = 563,232,238,144
  5. Step 5: Solve for x
    x = 563,232,238,144/480,917
  6. Step 6: Final answer
    x = 1,171,163.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.