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Finding the Third Proportional to 352,221.75 and 535,065.75

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Solution

The third proportional to 352,221.75 and 535,065.75 is: 812,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,221.75 : 535,065.75 = 535,065.75 : x
  2. Step 2: Convert to fraction form
    352,221.75/535,065.75 = 535,065.75/x
  3. Step 3: Cross multiply
    352,221.75x = 535,065.75 × 535,065.75
  4. Step 4: Simplify right side
    352,221.75x = 286,295,356,823.06
  5. Step 5: Solve for x
    x = 286,295,356,823.06/352,221.75
  6. Step 6: Final answer
    x = 812,827.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.