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Finding the Third Proportional to 364,101.75 and 565,322.63

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Solution

The third proportional to 364,101.75 and 565,322.63 is: 877,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101.75 : 565,322.63 = 565,322.63 : x
  2. Step 2: Convert to fraction form
    364,101.75/565,322.63 = 565,322.63/x
  3. Step 3: Cross multiply
    364,101.75x = 565,322.63 × 565,322.63
  4. Step 4: Simplify right side
    364,101.75x = 319,589,670,336.89
  5. Step 5: Solve for x
    x = 319,589,670,336.89/364,101.75
  6. Step 6: Final answer
    x = 877,748.24

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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.