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Finding the Third Proportional to 292,511.25 and 572,629.50

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Solution

The third proportional to 292,511.25 and 572,629.50 is: 1,120,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,511.25 : 572,629.50 = 572,629.50 : x
  2. Step 2: Convert to fraction form
    292,511.25/572,629.50 = 572,629.50/x
  3. Step 3: Cross multiply
    292,511.25x = 572,629.50 × 572,629.50
  4. Step 4: Simplify right side
    292,511.25x = 327,904,544,270.25
  5. Step 5: Solve for x
    x = 327,904,544,270.25/292,511.25
  6. Step 6: Final answer
    x = 1,120,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.