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Finding the Third Proportional to 338,697 and 498,688.88

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Solution

The third proportional to 338,697 and 498,688.88 is: 734,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,697 : 498,688.88 = 498,688.88 : x
  2. Step 2: Convert to fraction form
    338,697/498,688.88 = 498,688.88/x
  3. Step 3: Cross multiply
    338,697x = 498,688.88 × 498,688.88
  4. Step 4: Simplify right side
    338,697x = 248,690,594,048.77
  5. Step 5: Solve for x
    x = 248,690,594,048.77/338,697
  6. Step 6: Final answer
    x = 734,256.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.