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Finding the Third Proportional to 328,850 and 493,319

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Solution

The third proportional to 328,850 and 493,319 is: 740,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,850 : 493,319 = 493,319 : x
  2. Step 2: Convert to fraction form
    328,850/493,319 = 493,319/x
  3. Step 3: Cross multiply
    328,850x = 493,319 × 493,319
  4. Step 4: Simplify right side
    328,850x = 243,363,635,761
  5. Step 5: Solve for x
    x = 243,363,635,761/328,850
  6. Step 6: Final answer
    x = 740,044.51

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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.