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Finding the Third Proportional to 480,920 and 750,494

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Solution

The third proportional to 480,920 and 750,494 is: 1,171,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,920 : 750,494 = 750,494 : x
  2. Step 2: Convert to fraction form
    480,920/750,494 = 750,494/x
  3. Step 3: Cross multiply
    480,920x = 750,494 × 750,494
  4. Step 4: Simplify right side
    480,920x = 563,241,244,036
  5. Step 5: Solve for x
    x = 563,241,244,036/480,920
  6. Step 6: Final answer
    x = 1,171,174.51

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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.