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Finding the Third Proportional to 326,496 and 478,566

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Solution

The third proportional to 326,496 and 478,566 is: 701,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,496 : 478,566 = 478,566 : x
  2. Step 2: Convert to fraction form
    326,496/478,566 = 478,566/x
  3. Step 3: Cross multiply
    326,496x = 478,566 × 478,566
  4. Step 4: Simplify right side
    326,496x = 229,025,416,356
  5. Step 5: Solve for x
    x = 229,025,416,356/326,496
  6. Step 6: Final answer
    x = 701,464.69

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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.