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Finding the Third Proportional to 324,042.50 and 506,536.50

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Solution

The third proportional to 324,042.50 and 506,536.50 is: 791,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,042.50 : 506,536.50 = 506,536.50 : x
  2. Step 2: Convert to fraction form
    324,042.50/506,536.50 = 506,536.50/x
  3. Step 3: Cross multiply
    324,042.50x = 506,536.50 × 506,536.50
  4. Step 4: Simplify right side
    324,042.50x = 256,579,225,832.25
  5. Step 5: Solve for x
    x = 256,579,225,832.25/324,042.50
  6. Step 6: Final answer
    x = 791,807.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.