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Finding the Third Proportional to 364,084 and 565,295

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Solution

The third proportional to 364,084 and 565,295 is: 877,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,084 : 565,295 = 565,295 : x
  2. Step 2: Convert to fraction form
    364,084/565,295 = 565,295/x
  3. Step 3: Cross multiply
    364,084x = 565,295 × 565,295
  4. Step 4: Simplify right side
    364,084x = 319,558,437,025
  5. Step 5: Solve for x
    x = 319,558,437,025/364,084
  6. Step 6: Final answer
    x = 877,705.25

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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.