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Finding the Third Proportional to 431,935,443 and 695,558,380.50

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Solution

The third proportional to 431,935,443 and 695,558,380.50 is: 1,120,078,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,935,443 : 695,558,380.50 = 695,558,380.50 : x
  2. Step 2: Convert to fraction form
    431,935,443/695,558,380.50 = 695,558,380.50/x
  3. Step 3: Cross multiply
    431,935,443x = 695,558,380.50 × 695,558,380.50
  4. Step 4: Simplify right side
    431,935,443x = 483,801,460,683,782,784
  5. Step 5: Solve for x
    x = 483,801,460,683,782,784/431,935,443
  6. Step 6: Final answer
    x = 1,120,078,170.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.