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Finding the Third Proportional to 589,125 and 934,353

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Solution

The third proportional to 589,125 and 934,353 is: 1,481,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,125 : 934,353 = 934,353 : x
  2. Step 2: Convert to fraction form
    589,125/934,353 = 934,353/x
  3. Step 3: Cross multiply
    589,125x = 934,353 × 934,353
  4. Step 4: Simplify right side
    589,125x = 873,015,528,609
  5. Step 5: Solve for x
    x = 873,015,528,609/589,125
  6. Step 6: Final answer
    x = 1,481,885.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.