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Finding the Third Proportional to 320,368 and 480,552

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Solution

The third proportional to 320,368 and 480,552 is: 720,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,368 : 480,552 = 480,552 : x
  2. Step 2: Convert to fraction form
    320,368/480,552 = 480,552/x
  3. Step 3: Cross multiply
    320,368x = 480,552 × 480,552
  4. Step 4: Simplify right side
    320,368x = 230,930,224,704
  5. Step 5: Solve for x
    x = 230,930,224,704/320,368
  6. Step 6: Final answer
    x = 720,828

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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.