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Finding the Third Proportional to 341,204,238 and 736,777,822.50

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Solution

The third proportional to 341,204,238 and 736,777,822.50 is: 1,590,957,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,204,238 : 736,777,822.50 = 736,777,822.50 : x
  2. Step 2: Convert to fraction form
    341,204,238/736,777,822.50 = 736,777,822.50/x
  3. Step 3: Cross multiply
    341,204,238x = 736,777,822.50 × 736,777,822.50
  4. Step 4: Simplify right side
    341,204,238x = 542,841,559,727,841,536
  5. Step 5: Solve for x
    x = 542,841,559,727,841,536/341,204,238
  6. Step 6: Final answer
    x = 1,590,957,846.57

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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.