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Finding the Third Proportional to 292,072.50 and 629,345.25

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Solution

The third proportional to 292,072.50 and 629,345.25 is: 1,356,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,072.50 : 629,345.25 = 629,345.25 : x
  2. Step 2: Convert to fraction form
    292,072.50/629,345.25 = 629,345.25/x
  3. Step 3: Cross multiply
    292,072.50x = 629,345.25 × 629,345.25
  4. Step 4: Simplify right side
    292,072.50x = 396,075,443,697.56
  5. Step 5: Solve for x
    x = 396,075,443,697.56/292,072.50
  6. Step 6: Final answer
    x = 1,356,086.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.