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Finding the Third Proportional to 364,583 and 570,621

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Solution

The third proportional to 364,583 and 570,621 is: 893,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,583 : 570,621 = 570,621 : x
  2. Step 2: Convert to fraction form
    364,583/570,621 = 570,621/x
  3. Step 3: Cross multiply
    364,583x = 570,621 × 570,621
  4. Step 4: Simplify right side
    364,583x = 325,608,325,641
  5. Step 5: Solve for x
    x = 325,608,325,641/364,583
  6. Step 6: Final answer
    x = 893,097.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.