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Finding the Third Proportional to 594,243 and 894,210

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Solution

The third proportional to 594,243 and 894,210 is: 1,345,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,243 : 894,210 = 894,210 : x
  2. Step 2: Convert to fraction form
    594,243/894,210 = 894,210/x
  3. Step 3: Cross multiply
    594,243x = 894,210 × 894,210
  4. Step 4: Simplify right side
    594,243x = 799,611,524,100
  5. Step 5: Solve for x
    x = 799,611,524,100/594,243
  6. Step 6: Final answer
    x = 1,345,596.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.