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Finding the Third Proportional to 368,771.25 and 569,534.06

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Solution

The third proportional to 368,771.25 and 569,534.06 is: 879,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,771.25 : 569,534.06 = 569,534.06 : x
  2. Step 2: Convert to fraction form
    368,771.25/569,534.06 = 569,534.06/x
  3. Step 3: Cross multiply
    368,771.25x = 569,534.06 × 569,534.06
  4. Step 4: Simplify right side
    368,771.25x = 324,369,048,347.75
  5. Step 5: Solve for x
    x = 324,369,048,347.75/368,771.25
  6. Step 6: Final answer
    x = 879,594.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.