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Finding the Third Proportional to 342,610,560 and 507,694,007.25

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Solution

The third proportional to 342,610,560 and 507,694,007.25 is: 752,321,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,610,560 : 507,694,007.25 = 507,694,007.25 : x
  2. Step 2: Convert to fraction form
    342,610,560/507,694,007.25 = 507,694,007.25/x
  3. Step 3: Cross multiply
    342,610,560x = 507,694,007.25 × 507,694,007.25
  4. Step 4: Simplify right side
    342,610,560x = 257,753,204,997,563,040
  5. Step 5: Solve for x
    x = 257,753,204,997,563,040/342,610,560
  6. Step 6: Final answer
    x = 752,321,250.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.