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Finding the Third Proportional to 364.03 and 565.26

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Solution

The third proportional to 364.03 and 565.26 is: 877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.03 : 565.26 = 565.26 : x
  2. Step 2: Convert to fraction form
    364.03/565.26 = 565.26/x
  3. Step 3: Cross multiply
    364.03x = 565.26 × 565.26
  4. Step 4: Simplify right side
    364.03x = 319,518.60
  5. Step 5: Solve for x
    x = 319,518.60/364.03
  6. Step 6: Final answer
    x = 877.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.