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Finding the Third Proportional to 233,324 and 499,696

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Solution

The third proportional to 233,324 and 499,696 is: 1,070,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,324 : 499,696 = 499,696 : x
  2. Step 2: Convert to fraction form
    233,324/499,696 = 499,696/x
  3. Step 3: Cross multiply
    233,324x = 499,696 × 499,696
  4. Step 4: Simplify right side
    233,324x = 249,696,092,416
  5. Step 5: Solve for x
    x = 249,696,092,416/233,324
  6. Step 6: Final answer
    x = 1,070,168.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.