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Finding the Third Proportional to 235,948 and 513,362

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Solution

The third proportional to 235,948 and 513,362 is: 1,116,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,948 : 513,362 = 513,362 : x
  2. Step 2: Convert to fraction form
    235,948/513,362 = 513,362/x
  3. Step 3: Cross multiply
    235,948x = 513,362 × 513,362
  4. Step 4: Simplify right side
    235,948x = 263,540,543,044
  5. Step 5: Solve for x
    x = 263,540,543,044/235,948
  6. Step 6: Final answer
    x = 1,116,943.32

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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.