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Finding the Third Proportional to 590,044.50 and 893,983.50

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Solution

The third proportional to 590,044.50 and 893,983.50 is: 1,354,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,044.50 : 893,983.50 = 893,983.50 : x
  2. Step 2: Convert to fraction form
    590,044.50/893,983.50 = 893,983.50/x
  3. Step 3: Cross multiply
    590,044.50x = 893,983.50 × 893,983.50
  4. Step 4: Simplify right side
    590,044.50x = 799,206,498,272.25
  5. Step 5: Solve for x
    x = 799,206,498,272.25/590,044.50
  6. Step 6: Final answer
    x = 1,354,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.