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Finding the Third Proportional to 302,871,407 and 658,808,992

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Solution

The third proportional to 302,871,407 and 658,808,992 is: 1,433,048,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871,407 : 658,808,992 = 658,808,992 : x
  2. Step 2: Convert to fraction form
    302,871,407/658,808,992 = 658,808,992/x
  3. Step 3: Cross multiply
    302,871,407x = 658,808,992 × 658,808,992
  4. Step 4: Simplify right side
    302,871,407x = 434,029,287,940,056,064
  5. Step 5: Solve for x
    x = 434,029,287,940,056,064/302,871,407
  6. Step 6: Final answer
    x = 1,433,048,078.85

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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.