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Finding the Third Proportional to 352,226 and 535,062

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Solution

The third proportional to 352,226 and 535,062 is: 812,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,226 : 535,062 = 535,062 : x
  2. Step 2: Convert to fraction form
    352,226/535,062 = 535,062/x
  3. Step 3: Cross multiply
    352,226x = 535,062 × 535,062
  4. Step 4: Simplify right side
    352,226x = 286,291,343,844
  5. Step 5: Solve for x
    x = 286,291,343,844/352,226
  6. Step 6: Final answer
    x = 812,805.82

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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.