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Finding the Third Proportional to 320,337 and 463,981.50

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Solution

The third proportional to 320,337 and 463,981.50 is: 672,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,337 : 463,981.50 = 463,981.50 : x
  2. Step 2: Convert to fraction form
    320,337/463,981.50 = 463,981.50/x
  3. Step 3: Cross multiply
    320,337x = 463,981.50 × 463,981.50
  4. Step 4: Simplify right side
    320,337x = 215,278,832,342.25
  5. Step 5: Solve for x
    x = 215,278,832,342.25/320,337
  6. Step 6: Final answer
    x = 672,038.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.