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Finding the Third Proportional to 265,943 and 576,192.50

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Solution

The third proportional to 265,943 and 576,192.50 is: 1,248,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943 : 576,192.50 = 576,192.50 : x
  2. Step 2: Convert to fraction form
    265,943/576,192.50 = 576,192.50/x
  3. Step 3: Cross multiply
    265,943x = 576,192.50 × 576,192.50
  4. Step 4: Simplify right side
    265,943x = 331,997,797,056.25
  5. Step 5: Solve for x
    x = 331,997,797,056.25/265,943
  6. Step 6: Final answer
    x = 1,248,379.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.