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Finding the Third Proportional to 302,871,340 and 658,808,872

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Solution

The third proportional to 302,871,340 and 658,808,872 is: 1,433,047,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871,340 : 658,808,872 = 658,808,872 : x
  2. Step 2: Convert to fraction form
    302,871,340/658,808,872 = 658,808,872/x
  3. Step 3: Cross multiply
    302,871,340x = 658,808,872 × 658,808,872
  4. Step 4: Simplify right side
    302,871,340x = 434,029,129,825,912,384
  5. Step 5: Solve for x
    x = 434,029,129,825,912,384/302,871,340
  6. Step 6: Final answer
    x = 1,433,047,873.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.