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Finding the Third Proportional to 362,850.75 and 572,104.13

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Solution

The third proportional to 362,850.75 and 572,104.13 is: 902,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,850.75 : 572,104.13 = 572,104.13 : x
  2. Step 2: Convert to fraction form
    362,850.75/572,104.13 = 572,104.13/x
  3. Step 3: Cross multiply
    362,850.75x = 572,104.13 × 572,104.13
  4. Step 4: Simplify right side
    362,850.75x = 327,303,129,842.02
  5. Step 5: Solve for x
    x = 327,303,129,842.02/362,850.75
  6. Step 6: Final answer
    x = 902,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.