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Finding the Third Proportional to 202,632 and 469,095

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Solution

The third proportional to 202,632 and 469,095 is: 1,085,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,632 : 469,095 = 469,095 : x
  2. Step 2: Convert to fraction form
    202,632/469,095 = 469,095/x
  3. Step 3: Cross multiply
    202,632x = 469,095 × 469,095
  4. Step 4: Simplify right side
    202,632x = 220,050,119,025
  5. Step 5: Solve for x
    x = 220,050,119,025/202,632
  6. Step 6: Final answer
    x = 1,085,959.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.