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Finding the Third Proportional to 365,813.25 and 562,986

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Solution

The third proportional to 365,813.25 and 562,986 is: 866,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,813.25 : 562,986 = 562,986 : x
  2. Step 2: Convert to fraction form
    365,813.25/562,986 = 562,986/x
  3. Step 3: Cross multiply
    365,813.25x = 562,986 × 562,986
  4. Step 4: Simplify right side
    365,813.25x = 316,953,236,196
  5. Step 5: Solve for x
    x = 316,953,236,196/365,813.25
  6. Step 6: Final answer
    x = 866,434.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.