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Finding the Third Proportional to 352,186 and 535,012

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Solution

The third proportional to 352,186 and 535,012 is: 812,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,186 : 535,012 = 535,012 : x
  2. Step 2: Convert to fraction form
    352,186/535,012 = 535,012/x
  3. Step 3: Cross multiply
    352,186x = 535,012 × 535,012
  4. Step 4: Simplify right side
    352,186x = 286,237,840,144
  5. Step 5: Solve for x
    x = 286,237,840,144/352,186
  6. Step 6: Final answer
    x = 812,746.22

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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.