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Finding the Third Proportional to 523,648.50 and 800,702.50

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Solution

The third proportional to 523,648.50 and 800,702.50 is: 1,224,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,648.50 : 800,702.50 = 800,702.50 : x
  2. Step 2: Convert to fraction form
    523,648.50/800,702.50 = 800,702.50/x
  3. Step 3: Cross multiply
    523,648.50x = 800,702.50 × 800,702.50
  4. Step 4: Simplify right side
    523,648.50x = 641,124,493,506.25
  5. Step 5: Solve for x
    x = 641,124,493,506.25/523,648.50
  6. Step 6: Final answer
    x = 1,224,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.