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Finding the Third Proportional to 401,246,654 and 565,043,706

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Solution

The third proportional to 401,246,654 and 565,043,706 is: 795,706,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,246,654 : 565,043,706 = 565,043,706 : x
  2. Step 2: Convert to fraction form
    401,246,654/565,043,706 = 565,043,706/x
  3. Step 3: Cross multiply
    401,246,654x = 565,043,706 × 565,043,706
  4. Step 4: Simplify right side
    401,246,654x = 319,274,389,690,214,464
  5. Step 5: Solve for x
    x = 319,274,389,690,214,464/401,246,654
  6. Step 6: Final answer
    x = 795,706,048.90

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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.