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Finding the Third Proportional to 358,708,121 and 746,044,801

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Solution

The third proportional to 358,708,121 and 746,044,801 is: 1,551,631,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,708,121 : 746,044,801 = 746,044,801 : x
  2. Step 2: Convert to fraction form
    358,708,121/746,044,801 = 746,044,801/x
  3. Step 3: Cross multiply
    358,708,121x = 746,044,801 × 746,044,801
  4. Step 4: Simplify right side
    358,708,121x = 556,582,845,099,129,600
  5. Step 5: Solve for x
    x = 556,582,845,099,129,600/358,708,121
  6. Step 6: Final answer
    x = 1,551,631,570.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.