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Finding the Third Proportional to 262,942,712 and 408,767,160

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Solution

The third proportional to 262,942,712 and 408,767,160 is: 635,463,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,942,712 : 408,767,160 = 408,767,160 : x
  2. Step 2: Convert to fraction form
    262,942,712/408,767,160 = 408,767,160/x
  3. Step 3: Cross multiply
    262,942,712x = 408,767,160 × 408,767,160
  4. Step 4: Simplify right side
    262,942,712x = 167,090,591,094,465,600
  5. Step 5: Solve for x
    x = 167,090,591,094,465,600/262,942,712
  6. Step 6: Final answer
    x = 635,463,861.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.