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Finding the Third Proportional to 328,025,516.33 and 722,913,078.76

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Solution

The third proportional to 328,025,516.33 and 722,913,078.76 is: 1,593,178,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,025,516.33 : 722,913,078.76 = 722,913,078.76 : x
  2. Step 2: Convert to fraction form
    328,025,516.33/722,913,078.76 = 722,913,078.76/x
  3. Step 3: Cross multiply
    328,025,516.33x = 722,913,078.76 × 722,913,078.76
  4. Step 4: Simplify right side
    328,025,516.33x = 522,603,319,444,734,400
  5. Step 5: Solve for x
    x = 522,603,319,444,734,400/328,025,516.33
  6. Step 6: Final answer
    x = 1,593,178,863.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.