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Finding the Third Proportional to 292,047.75 and 426,588.75

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Solution

The third proportional to 292,047.75 and 426,588.75 is: 623,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,047.75 : 426,588.75 = 426,588.75 : x
  2. Step 2: Convert to fraction form
    292,047.75/426,588.75 = 426,588.75/x
  3. Step 3: Cross multiply
    292,047.75x = 426,588.75 × 426,588.75
  4. Step 4: Simplify right side
    292,047.75x = 181,977,961,626.56
  5. Step 5: Solve for x
    x = 181,977,961,626.56/292,047.75
  6. Step 6: Final answer
    x = 623,110.30

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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.