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Finding the Third Proportional to 365,760 and 522,030

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Solution

The third proportional to 365,760 and 522,030 is: 745,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,760 : 522,030 = 522,030 : x
  2. Step 2: Convert to fraction form
    365,760/522,030 = 522,030/x
  3. Step 3: Cross multiply
    365,760x = 522,030 × 522,030
  4. Step 4: Simplify right side
    365,760x = 272,515,320,900
  5. Step 5: Solve for x
    x = 272,515,320,900/365,760
  6. Step 6: Final answer
    x = 745,065.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.