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Finding the Third Proportional to 235,335 and 509,982

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Solution

The third proportional to 235,335 and 509,982 is: 1,105,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,335 : 509,982 = 509,982 : x
  2. Step 2: Convert to fraction form
    235,335/509,982 = 509,982/x
  3. Step 3: Cross multiply
    235,335x = 509,982 × 509,982
  4. Step 4: Simplify right side
    235,335x = 260,081,640,324
  5. Step 5: Solve for x
    x = 260,081,640,324/235,335
  6. Step 6: Final answer
    x = 1,105,154.95

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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.