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Finding the Third Proportional to 364,096 and 565,314

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Solution

The third proportional to 364,096 and 565,314 is: 877,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,096 : 565,314 = 565,314 : x
  2. Step 2: Convert to fraction form
    364,096/565,314 = 565,314/x
  3. Step 3: Cross multiply
    364,096x = 565,314 × 565,314
  4. Step 4: Simplify right side
    364,096x = 319,579,918,596
  5. Step 5: Solve for x
    x = 319,579,918,596/364,096
  6. Step 6: Final answer
    x = 877,735.32

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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.