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Finding the Third Proportional to 590,328 and 885,313.13

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Solution

The third proportional to 590,328 and 885,313.13 is: 1,327,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,328 : 885,313.13 = 885,313.13 : x
  2. Step 2: Convert to fraction form
    590,328/885,313.13 = 885,313.13/x
  3. Step 3: Cross multiply
    590,328x = 885,313.13 × 885,313.13
  4. Step 4: Simplify right side
    590,328x = 783,779,329,297.27
  5. Step 5: Solve for x
    x = 783,779,329,297.27/590,328
  6. Step 6: Final answer
    x = 1,327,701.43

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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.