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Finding the Third Proportional to 320,806,593 and 687,655,408

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Solution

The third proportional to 320,806,593 and 687,655,408 is: 1,474,003,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,806,593 : 687,655,408 = 687,655,408 : x
  2. Step 2: Convert to fraction form
    320,806,593/687,655,408 = 687,655,408/x
  3. Step 3: Cross multiply
    320,806,593x = 687,655,408 × 687,655,408
  4. Step 4: Simplify right side
    320,806,593x = 472,869,960,151,646,464
  5. Step 5: Solve for x
    x = 472,869,960,151,646,464/320,806,593
  6. Step 6: Final answer
    x = 1,474,003,248.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.