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Finding the Third Proportional to 480,084 and 773,328

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Solution

The third proportional to 480,084 and 773,328 is: 1,245,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,084 : 773,328 = 773,328 : x
  2. Step 2: Convert to fraction form
    480,084/773,328 = 773,328/x
  3. Step 3: Cross multiply
    480,084x = 773,328 × 773,328
  4. Step 4: Simplify right side
    480,084x = 598,036,195,584
  5. Step 5: Solve for x
    x = 598,036,195,584/480,084
  6. Step 6: Final answer
    x = 1,245,690.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.