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Finding the Third Proportional to 288,059,568 and 411,630,456

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Solution

The third proportional to 288,059,568 and 411,630,456 is: 588,210,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059,568 : 411,630,456 = 411,630,456 : x
  2. Step 2: Convert to fraction form
    288,059,568/411,630,456 = 411,630,456/x
  3. Step 3: Cross multiply
    288,059,568x = 411,630,456 × 411,630,456
  4. Step 4: Simplify right side
    288,059,568x = 169,439,632,306,767,936
  5. Step 5: Solve for x
    x = 169,439,632,306,767,936/288,059,568
  6. Step 6: Final answer
    x = 588,210,395.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.