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Finding the Third Proportional to 326,232 and 475,146

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Solution

The third proportional to 326,232 and 475,146 is: 692,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,232 : 475,146 = 475,146 : x
  2. Step 2: Convert to fraction form
    326,232/475,146 = 475,146/x
  3. Step 3: Cross multiply
    326,232x = 475,146 × 475,146
  4. Step 4: Simplify right side
    326,232x = 225,763,721,316
  5. Step 5: Solve for x
    x = 225,763,721,316/326,232
  6. Step 6: Final answer
    x = 692,034.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.