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Finding the Third Proportional to 270,052.50 and 581,658

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Solution

The third proportional to 270,052.50 and 581,658 is: 1,252,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,052.50 : 581,658 = 581,658 : x
  2. Step 2: Convert to fraction form
    270,052.50/581,658 = 581,658/x
  3. Step 3: Cross multiply
    270,052.50x = 581,658 × 581,658
  4. Step 4: Simplify right side
    270,052.50x = 338,326,028,964
  5. Step 5: Solve for x
    x = 338,326,028,964/270,052.50
  6. Step 6: Final answer
    x = 1,252,815.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.