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Finding the Third Proportional to 488,804 and 738,124

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Solution

The third proportional to 488,804 and 738,124 is: 1,114,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,804 : 738,124 = 738,124 : x
  2. Step 2: Convert to fraction form
    488,804/738,124 = 738,124/x
  3. Step 3: Cross multiply
    488,804x = 738,124 × 738,124
  4. Step 4: Simplify right side
    488,804x = 544,827,039,376
  5. Step 5: Solve for x
    x = 544,827,039,376/488,804
  6. Step 6: Final answer
    x = 1,114,612.48

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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.