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Finding the Third Proportional to 239,530.50 and 521,582.63

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Solution

The third proportional to 239,530.50 and 521,582.63 is: 1,135,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,530.50 : 521,582.63 = 521,582.63 : x
  2. Step 2: Convert to fraction form
    239,530.50/521,582.63 = 521,582.63/x
  3. Step 3: Cross multiply
    239,530.50x = 521,582.63 × 521,582.63
  4. Step 4: Simplify right side
    239,530.50x = 272,048,434,701.89
  5. Step 5: Solve for x
    x = 272,048,434,701.89/239,530.50
  6. Step 6: Final answer
    x = 1,135,756.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.