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Finding the Third Proportional to 270,030.50 and 590,917

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Solution

The third proportional to 270,030.50 and 590,917 is: 1,293,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,030.50 : 590,917 = 590,917 : x
  2. Step 2: Convert to fraction form
    270,030.50/590,917 = 590,917/x
  3. Step 3: Cross multiply
    270,030.50x = 590,917 × 590,917
  4. Step 4: Simplify right side
    270,030.50x = 349,182,900,889
  5. Step 5: Solve for x
    x = 349,182,900,889/270,030.50
  6. Step 6: Final answer
    x = 1,293,123.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.