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Finding the Third Proportional to 325,677,792 and 702,372,480

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Solution

The third proportional to 325,677,792 and 702,372,480 is: 1,514,770,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,677,792 : 702,372,480 = 702,372,480 : x
  2. Step 2: Convert to fraction form
    325,677,792/702,372,480 = 702,372,480/x
  3. Step 3: Cross multiply
    325,677,792x = 702,372,480 × 702,372,480
  4. Step 4: Simplify right side
    325,677,792x = 493,327,100,661,350,400
  5. Step 5: Solve for x
    x = 493,327,100,661,350,400/325,677,792
  6. Step 6: Final answer
    x = 1,514,770,465.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.