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Finding the Third Proportional to 590,324 and 885,614

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Solution

The third proportional to 590,324 and 885,614 is: 1,328,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,324 : 885,614 = 885,614 : x
  2. Step 2: Convert to fraction form
    590,324/885,614 = 885,614/x
  3. Step 3: Cross multiply
    590,324x = 885,614 × 885,614
  4. Step 4: Simplify right side
    590,324x = 784,312,156,996
  5. Step 5: Solve for x
    x = 784,312,156,996/590,324
  6. Step 6: Final answer
    x = 1,328,613.03

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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.