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Finding the Third Proportional to 338,433.19 and 507,723.19

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Solution

The third proportional to 338,433.19 and 507,723.19 is: 761,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,433.19 : 507,723.19 = 507,723.19 : x
  2. Step 2: Convert to fraction form
    338,433.19/507,723.19 = 507,723.19/x
  3. Step 3: Cross multiply
    338,433.19x = 507,723.19 × 507,723.19
  4. Step 4: Simplify right side
    338,433.19x = 257,782,835,125.16
  5. Step 5: Solve for x
    x = 257,782,835,125.16/338,433.19
  6. Step 6: Final answer
    x = 761,694.91

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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.