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Finding the Third Proportional to 304,260 and 660,030

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Solution

The third proportional to 304,260 and 660,030 is: 1,431,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,260 : 660,030 = 660,030 : x
  2. Step 2: Convert to fraction form
    304,260/660,030 = 660,030/x
  3. Step 3: Cross multiply
    304,260x = 660,030 × 660,030
  4. Step 4: Simplify right side
    304,260x = 435,639,600,900
  5. Step 5: Solve for x
    x = 435,639,600,900/304,260
  6. Step 6: Final answer
    x = 1,431,800.44

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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.