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Finding the Third Proportional to 338,820.19 and 524,633.63

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Solution

The third proportional to 338,820.19 and 524,633.63 is: 812,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,820.19 : 524,633.63 = 524,633.63 : x
  2. Step 2: Convert to fraction form
    338,820.19/524,633.63 = 524,633.63/x
  3. Step 3: Cross multiply
    338,820.19x = 524,633.63 × 524,633.63
  4. Step 4: Simplify right side
    338,820.19x = 275,240,440,480.64
  5. Step 5: Solve for x
    x = 275,240,440,480.64/338,820.19
  6. Step 6: Final answer
    x = 812,349.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.