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Finding the Third Proportional to 339,151 and 706,209

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Solution

The third proportional to 339,151 and 706,209 is: 1,470,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,151 : 706,209 = 706,209 : x
  2. Step 2: Convert to fraction form
    339,151/706,209 = 706,209/x
  3. Step 3: Cross multiply
    339,151x = 706,209 × 706,209
  4. Step 4: Simplify right side
    339,151x = 498,731,151,681
  5. Step 5: Solve for x
    x = 498,731,151,681/339,151
  6. Step 6: Final answer
    x = 1,470,528.32

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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.