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Finding the Third Proportional to 426,681 and 638,806.50

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Solution

The third proportional to 426,681 and 638,806.50 is: 956,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,681 : 638,806.50 = 638,806.50 : x
  2. Step 2: Convert to fraction form
    426,681/638,806.50 = 638,806.50/x
  3. Step 3: Cross multiply
    426,681x = 638,806.50 × 638,806.50
  4. Step 4: Simplify right side
    426,681x = 408,073,744,442.25
  5. Step 5: Solve for x
    x = 408,073,744,442.25/426,681
  6. Step 6: Final answer
    x = 956,390.71

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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.