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Finding the Third Proportional to 480,919 and 750,491

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Solution

The third proportional to 480,919 and 750,491 is: 1,171,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,919 : 750,491 = 750,491 : x
  2. Step 2: Convert to fraction form
    480,919/750,491 = 750,491/x
  3. Step 3: Cross multiply
    480,919x = 750,491 × 750,491
  4. Step 4: Simplify right side
    480,919x = 563,236,741,081
  5. Step 5: Solve for x
    x = 563,236,741,081/480,919
  6. Step 6: Final answer
    x = 1,171,167.58

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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.