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Finding the Third Proportional to 324,607.50 and 706,374

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Solution

The third proportional to 324,607.50 and 706,374 is: 1,537,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,607.50 : 706,374 = 706,374 : x
  2. Step 2: Convert to fraction form
    324,607.50/706,374 = 706,374/x
  3. Step 3: Cross multiply
    324,607.50x = 706,374 × 706,374
  4. Step 4: Simplify right side
    324,607.50x = 498,964,227,876
  5. Step 5: Solve for x
    x = 498,964,227,876/324,607.50
  6. Step 6: Final answer
    x = 1,537,130.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.