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Finding the Third Proportional to 387,533.25 and 569,817

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Solution

The third proportional to 387,533.25 and 569,817 is: 837,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,533.25 : 569,817 = 569,817 : x
  2. Step 2: Convert to fraction form
    387,533.25/569,817 = 569,817/x
  3. Step 3: Cross multiply
    387,533.25x = 569,817 × 569,817
  4. Step 4: Simplify right side
    387,533.25x = 324,691,413,489
  5. Step 5: Solve for x
    x = 324,691,413,489/387,533.25
  6. Step 6: Final answer
    x = 837,841.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.