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Finding the Third Proportional to 342,610,566 and 507,694,017

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Solution

The third proportional to 342,610,566 and 507,694,017 is: 752,321,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,610,566 : 507,694,017 = 507,694,017 : x
  2. Step 2: Convert to fraction form
    342,610,566/507,694,017 = 507,694,017/x
  3. Step 3: Cross multiply
    342,610,566x = 507,694,017 × 507,694,017
  4. Step 4: Simplify right side
    342,610,566x = 257,753,214,897,596,288
  5. Step 5: Solve for x
    x = 257,753,214,897,596,288/342,610,566
  6. Step 6: Final answer
    x = 752,321,266.41

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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.