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Finding the Third Proportional to 235,776 and 512,592

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Solution

The third proportional to 235,776 and 512,592 is: 1,114,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,776 : 512,592 = 512,592 : x
  2. Step 2: Convert to fraction form
    235,776/512,592 = 512,592/x
  3. Step 3: Cross multiply
    235,776x = 512,592 × 512,592
  4. Step 4: Simplify right side
    235,776x = 262,750,558,464
  5. Step 5: Solve for x
    x = 262,750,558,464/235,776
  6. Step 6: Final answer
    x = 1,114,407.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.