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Finding the Third Proportional to 355,504 and 565,368

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Solution

The third proportional to 355,504 and 565,368 is: 899,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,504 : 565,368 = 565,368 : x
  2. Step 2: Convert to fraction form
    355,504/565,368 = 565,368/x
  3. Step 3: Cross multiply
    355,504x = 565,368 × 565,368
  4. Step 4: Simplify right side
    355,504x = 319,640,975,424
  5. Step 5: Solve for x
    x = 319,640,975,424/355,504
  6. Step 6: Final answer
    x = 899,120.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.