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Finding the Third Proportional to 346,823,404 and 501,099,926

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Solution

The third proportional to 346,823,404 and 501,099,926 is: 724,002,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,823,404 : 501,099,926 = 501,099,926 : x
  2. Step 2: Convert to fraction form
    346,823,404/501,099,926 = 501,099,926/x
  3. Step 3: Cross multiply
    346,823,404x = 501,099,926 × 501,099,926
  4. Step 4: Simplify right side
    346,823,404x = 251,101,135,837,205,472
  5. Step 5: Solve for x
    x = 251,101,135,837,205,472/346,823,404
  6. Step 6: Final answer
    x = 724,002,858.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.