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Finding the Third Proportional to 291,567 and 476,102.50

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Solution

The third proportional to 291,567 and 476,102.50 is: 777,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,567 : 476,102.50 = 476,102.50 : x
  2. Step 2: Convert to fraction form
    291,567/476,102.50 = 476,102.50/x
  3. Step 3: Cross multiply
    291,567x = 476,102.50 × 476,102.50
  4. Step 4: Simplify right side
    291,567x = 226,673,590,506.25
  5. Step 5: Solve for x
    x = 226,673,590,506.25/291,567
  6. Step 6: Final answer
    x = 777,432.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.