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Finding the Third Proportional to 302,029,262 and 465,971,840

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Solution

The third proportional to 302,029,262 and 465,971,840 is: 718,903,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,029,262 : 465,971,840 = 465,971,840 : x
  2. Step 2: Convert to fraction form
    302,029,262/465,971,840 = 465,971,840/x
  3. Step 3: Cross multiply
    302,029,262x = 465,971,840 × 465,971,840
  4. Step 4: Simplify right side
    302,029,262x = 217,129,755,672,985,600
  5. Step 5: Solve for x
    x = 217,129,755,672,985,600/302,029,262
  6. Step 6: Final answer
    x = 718,903,043.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.