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Finding the Third Proportional to 590,312 and 885,589

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Solution

The third proportional to 590,312 and 885,589 is: 1,328,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,312 : 885,589 = 885,589 : x
  2. Step 2: Convert to fraction form
    590,312/885,589 = 885,589/x
  3. Step 3: Cross multiply
    590,312x = 885,589 × 885,589
  4. Step 4: Simplify right side
    590,312x = 784,267,876,921
  5. Step 5: Solve for x
    x = 784,267,876,921/590,312
  6. Step 6: Final answer
    x = 1,328,565.02

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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.