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Finding the Third Proportional to 233,256 and 508,716

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Solution

The third proportional to 233,256 and 508,716 is: 1,109,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,256 : 508,716 = 508,716 : x
  2. Step 2: Convert to fraction form
    233,256/508,716 = 508,716/x
  3. Step 3: Cross multiply
    233,256x = 508,716 × 508,716
  4. Step 4: Simplify right side
    233,256x = 258,791,968,656
  5. Step 5: Solve for x
    x = 258,791,968,656/233,256
  6. Step 6: Final answer
    x = 1,109,476.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.