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Finding the Third Proportional to 587,521.50 and 792,703.50

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Solution

The third proportional to 587,521.50 and 792,703.50 is: 1,069,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,521.50 : 792,703.50 = 792,703.50 : x
  2. Step 2: Convert to fraction form
    587,521.50/792,703.50 = 792,703.50/x
  3. Step 3: Cross multiply
    587,521.50x = 792,703.50 × 792,703.50
  4. Step 4: Simplify right side
    587,521.50x = 628,378,838,912.25
  5. Step 5: Solve for x
    x = 628,378,838,912.25/587,521.50
  6. Step 6: Final answer
    x = 1,069,541.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.