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Finding the Third Proportional to 401,246,658 and 565,043,712

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Solution

The third proportional to 401,246,658 and 565,043,712 is: 795,706,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246,658 : 565,043,712 = 565,043,712 : x
  2. Step 2: Convert to fraction form
    401,246,658/565,043,712 = 565,043,712/x
  3. Step 3: Cross multiply
    401,246,658x = 565,043,712 × 565,043,712
  4. Step 4: Simplify right side
    401,246,658x = 319,274,396,470,738,944
  5. Step 5: Solve for x
    x = 319,274,396,470,738,944/401,246,658
  6. Step 6: Final answer
    x = 795,706,057.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.