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Finding the Third Proportional to 307,624.50 and 465,536.25

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Solution

The third proportional to 307,624.50 and 465,536.25 is: 704,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,624.50 : 465,536.25 = 465,536.25 : x
  2. Step 2: Convert to fraction form
    307,624.50/465,536.25 = 465,536.25/x
  3. Step 3: Cross multiply
    307,624.50x = 465,536.25 × 465,536.25
  4. Step 4: Simplify right side
    307,624.50x = 216,724,000,064.06
  5. Step 5: Solve for x
    x = 216,724,000,064.06/307,624.50
  6. Step 6: Final answer
    x = 704,508.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.