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Finding the Third Proportional to 342,691,341.75 and 522,072,051.75

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Solution

The third proportional to 342,691,341.75 and 522,072,051.75 is: 795,349,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,341.75 : 522,072,051.75 = 522,072,051.75 : x
  2. Step 2: Convert to fraction form
    342,691,341.75/522,072,051.75 = 522,072,051.75/x
  3. Step 3: Cross multiply
    342,691,341.75x = 522,072,051.75 × 522,072,051.75
  4. Step 4: Simplify right side
    342,691,341.75x = 272,559,227,218,454,688
  5. Step 5: Solve for x
    x = 272,559,227,218,454,688/342,691,341.75
  6. Step 6: Final answer
    x = 795,349,032.83

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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.