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Finding the Third Proportional to 318,309 and 686,433

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Solution

The third proportional to 318,309 and 686,433 is: 1,480,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,309 : 686,433 = 686,433 : x
  2. Step 2: Convert to fraction form
    318,309/686,433 = 686,433/x
  3. Step 3: Cross multiply
    318,309x = 686,433 × 686,433
  4. Step 4: Simplify right side
    318,309x = 471,190,263,489
  5. Step 5: Solve for x
    x = 471,190,263,489/318,309
  6. Step 6: Final answer
    x = 1,480,291.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.