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Finding the Third Proportional to 326,536 and 462,454

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Solution

The third proportional to 326,536 and 462,454 is: 654,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,536 : 462,454 = 462,454 : x
  2. Step 2: Convert to fraction form
    326,536/462,454 = 462,454/x
  3. Step 3: Cross multiply
    326,536x = 462,454 × 462,454
  4. Step 4: Simplify right side
    326,536x = 213,863,702,116
  5. Step 5: Solve for x
    x = 213,863,702,116/326,536
  6. Step 6: Final answer
    x = 654,946.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.