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Finding the Third Proportional to 302,626.13 and 453,358.27

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Solution

The third proportional to 302,626.13 and 453,358.27 is: 679,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,626.13 : 453,358.27 = 453,358.27 : x
  2. Step 2: Convert to fraction form
    302,626.13/453,358.27 = 453,358.27/x
  3. Step 3: Cross multiply
    302,626.13x = 453,358.27 × 453,358.27
  4. Step 4: Simplify right side
    302,626.13x = 205,533,717,010.51
  5. Step 5: Solve for x
    x = 205,533,717,010.51/302,626.13
  6. Step 6: Final answer
    x = 679,167.13

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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.