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Finding the Third Proportional to 488,808 and 738,130

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Solution

The third proportional to 488,808 and 738,130 is: 1,114,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,808 : 738,130 = 738,130 : x
  2. Step 2: Convert to fraction form
    488,808/738,130 = 738,130/x
  3. Step 3: Cross multiply
    488,808x = 738,130 × 738,130
  4. Step 4: Simplify right side
    488,808x = 544,835,896,900
  5. Step 5: Solve for x
    x = 544,835,896,900/488,808
  6. Step 6: Final answer
    x = 1,114,621.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.