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Finding the Third Proportional to 342,691,538 and 522,072,316

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Solution

The third proportional to 342,691,538 and 522,072,316 is: 795,349,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,538 : 522,072,316 = 522,072,316 : x
  2. Step 2: Convert to fraction form
    342,691,538/522,072,316 = 522,072,316/x
  3. Step 3: Cross multiply
    342,691,538x = 522,072,316 × 522,072,316
  4. Step 4: Simplify right side
    342,691,538x = 272,559,503,133,603,840
  5. Step 5: Solve for x
    x = 272,559,503,133,603,840/342,691,538
  6. Step 6: Final answer
    x = 795,349,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.