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Finding the Third Proportional to 339,282 and 706,483.50

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Solution

The third proportional to 339,282 and 706,483.50 is: 1,471,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,282 : 706,483.50 = 706,483.50 : x
  2. Step 2: Convert to fraction form
    339,282/706,483.50 = 706,483.50/x
  3. Step 3: Cross multiply
    339,282x = 706,483.50 × 706,483.50
  4. Step 4: Simplify right side
    339,282x = 499,118,935,772.25
  5. Step 5: Solve for x
    x = 499,118,935,772.25/339,282
  6. Step 6: Final answer
    x = 1,471,103.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.