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Finding the Third Proportional to 235,670 and 508,696

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Solution

The third proportional to 235,670 and 508,696 is: 1,098,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,670 : 508,696 = 508,696 : x
  2. Step 2: Convert to fraction form
    235,670/508,696 = 508,696/x
  3. Step 3: Cross multiply
    235,670x = 508,696 × 508,696
  4. Step 4: Simplify right side
    235,670x = 258,771,620,416
  5. Step 5: Solve for x
    x = 258,771,620,416/235,670
  6. Step 6: Final answer
    x = 1,098,025.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.