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Finding the Third Proportional to 498,818 and 746,259

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Solution

The third proportional to 498,818 and 746,259 is: 1,116,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,818 : 746,259 = 746,259 : x
  2. Step 2: Convert to fraction form
    498,818/746,259 = 746,259/x
  3. Step 3: Cross multiply
    498,818x = 746,259 × 746,259
  4. Step 4: Simplify right side
    498,818x = 556,902,495,081
  5. Step 5: Solve for x
    x = 556,902,495,081/498,818
  6. Step 6: Final answer
    x = 1,116,444.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.