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Finding the Third Proportional to 597,933 and 873,877.50

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Solution

The third proportional to 597,933 and 873,877.50 is: 1,277,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,933 : 873,877.50 = 873,877.50 : x
  2. Step 2: Convert to fraction form
    597,933/873,877.50 = 873,877.50/x
  3. Step 3: Cross multiply
    597,933x = 873,877.50 × 873,877.50
  4. Step 4: Simplify right side
    597,933x = 763,661,885,006.25
  5. Step 5: Solve for x
    x = 763,661,885,006.25/597,933
  6. Step 6: Final answer
    x = 1,277,169.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.