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Finding the Third Proportional to 342,610,565 and 507,694,014

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Solution

The third proportional to 342,610,565 and 507,694,014 is: 752,321,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,610,565 : 507,694,014 = 507,694,014 : x
  2. Step 2: Convert to fraction form
    342,610,565/507,694,014 = 507,694,014/x
  3. Step 3: Cross multiply
    342,610,565x = 507,694,014 × 507,694,014
  4. Step 4: Simplify right side
    342,610,565x = 257,753,211,851,432,192
  5. Step 5: Solve for x
    x = 257,753,211,851,432,192/342,610,565
  6. Step 6: Final answer
    x = 752,321,259.71

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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.