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Finding the Third Proportional to 326,552 and 478,644

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Solution

The third proportional to 326,552 and 478,644 is: 701,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,552 : 478,644 = 478,644 : x
  2. Step 2: Convert to fraction form
    326,552/478,644 = 478,644/x
  3. Step 3: Cross multiply
    326,552x = 478,644 × 478,644
  4. Step 4: Simplify right side
    326,552x = 229,100,078,736
  5. Step 5: Solve for x
    x = 229,100,078,736/326,552
  6. Step 6: Final answer
    x = 701,573.04

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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.