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Finding the Third Proportional to 292,960,672 and 443,211,520

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Solution

The third proportional to 292,960,672 and 443,211,520 is: 670,521,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,960,672 : 443,211,520 = 443,211,520 : x
  2. Step 2: Convert to fraction form
    292,960,672/443,211,520 = 443,211,520/x
  3. Step 3: Cross multiply
    292,960,672x = 443,211,520 × 443,211,520
  4. Step 4: Simplify right side
    292,960,672x = 196,436,451,460,710,400
  5. Step 5: Solve for x
    x = 196,436,451,460,710,400/292,960,672
  6. Step 6: Final answer
    x = 670,521,575.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.