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Finding the Third Proportional to 270,235.50 and 586,623

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Solution

The third proportional to 270,235.50 and 586,623 is: 1,273,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,235.50 : 586,623 = 586,623 : x
  2. Step 2: Convert to fraction form
    270,235.50/586,623 = 586,623/x
  3. Step 3: Cross multiply
    270,235.50x = 586,623 × 586,623
  4. Step 4: Simplify right side
    270,235.50x = 344,126,544,129
  5. Step 5: Solve for x
    x = 344,126,544,129/270,235.50
  6. Step 6: Final answer
    x = 1,273,432.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.