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Finding the Third Proportional to 272,632 and 595,808

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Solution

The third proportional to 272,632 and 595,808 is: 1,302,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,632 : 595,808 = 595,808 : x
  2. Step 2: Convert to fraction form
    272,632/595,808 = 595,808/x
  3. Step 3: Cross multiply
    272,632x = 595,808 × 595,808
  4. Step 4: Simplify right side
    272,632x = 354,987,172,864
  5. Step 5: Solve for x
    x = 354,987,172,864/272,632
  6. Step 6: Final answer
    x = 1,302,074.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.