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Finding the Third Proportional to 409,526,446 and 579,467,364

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Solution

The third proportional to 409,526,446 and 579,467,364 is: 819,928,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,526,446 : 579,467,364 = 579,467,364 : x
  2. Step 2: Convert to fraction form
    409,526,446/579,467,364 = 579,467,364/x
  3. Step 3: Cross multiply
    409,526,446x = 579,467,364 × 579,467,364
  4. Step 4: Simplify right side
    409,526,446x = 335,782,425,941,108,480
  5. Step 5: Solve for x
    x = 335,782,425,941,108,480/409,526,446
  6. Step 6: Final answer
    x = 819,928,552.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.