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Finding the Third Proportional to 233,463 and 527,551.50

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Solution

The third proportional to 233,463 and 527,551.50 is: 1,192,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,463 : 527,551.50 = 527,551.50 : x
  2. Step 2: Convert to fraction form
    233,463/527,551.50 = 527,551.50/x
  3. Step 3: Cross multiply
    233,463x = 527,551.50 × 527,551.50
  4. Step 4: Simplify right side
    233,463x = 278,310,585,152.25
  5. Step 5: Solve for x
    x = 278,310,585,152.25/233,463
  6. Step 6: Final answer
    x = 1,192,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.