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Finding the Third Proportional to 237,561 and 528,244.50

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Solution

The third proportional to 237,561 and 528,244.50 is: 1,174,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,561 : 528,244.50 = 528,244.50 : x
  2. Step 2: Convert to fraction form
    237,561/528,244.50 = 528,244.50/x
  3. Step 3: Cross multiply
    237,561x = 528,244.50 × 528,244.50
  4. Step 4: Simplify right side
    237,561x = 279,042,251,780.25
  5. Step 5: Solve for x
    x = 279,042,251,780.25/237,561
  6. Step 6: Final answer
    x = 1,174,613.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.