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Finding the Third Proportional to 364,107 and 565,322

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Solution

The third proportional to 364,107 and 565,322 is: 877,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,107 : 565,322 = 565,322 : x
  2. Step 2: Convert to fraction form
    364,107/565,322 = 565,322/x
  3. Step 3: Cross multiply
    364,107x = 565,322 × 565,322
  4. Step 4: Simplify right side
    364,107x = 319,588,963,684
  5. Step 5: Solve for x
    x = 319,588,963,684/364,107
  6. Step 6: Final answer
    x = 877,733.64

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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.