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Finding the Third Proportional to 302,320.13 and 437,026.22

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Solution

The third proportional to 302,320.13 and 437,026.22 is: 631,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,320.13 : 437,026.22 = 437,026.22 : x
  2. Step 2: Convert to fraction form
    302,320.13/437,026.22 = 437,026.22/x
  3. Step 3: Cross multiply
    302,320.13x = 437,026.22 × 437,026.22
  4. Step 4: Simplify right side
    302,320.13x = 190,991,915,874.92
  5. Step 5: Solve for x
    x = 190,991,915,874.92/302,320.13
  6. Step 6: Final answer
    x = 631,753.89

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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.