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Finding the Third Proportional to 488,990 and 748,012

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Solution

The third proportional to 488,990 and 748,012 is: 1,144,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,990 : 748,012 = 748,012 : x
  2. Step 2: Convert to fraction form
    488,990/748,012 = 748,012/x
  3. Step 3: Cross multiply
    488,990x = 748,012 × 748,012
  4. Step 4: Simplify right side
    488,990x = 559,521,952,144
  5. Step 5: Solve for x
    x = 559,521,952,144/488,990
  6. Step 6: Final answer
    x = 1,144,240.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.