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Finding the Third Proportional to 292,879.50 and 609,085.50

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Solution

The third proportional to 292,879.50 and 609,085.50 is: 1,266,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,879.50 : 609,085.50 = 609,085.50 : x
  2. Step 2: Convert to fraction form
    292,879.50/609,085.50 = 609,085.50/x
  3. Step 3: Cross multiply
    292,879.50x = 609,085.50 × 609,085.50
  4. Step 4: Simplify right side
    292,879.50x = 370,985,146,310.25
  5. Step 5: Solve for x
    x = 370,985,146,310.25/292,879.50
  6. Step 6: Final answer
    x = 1,266,681.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.