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Finding the Third Proportional to 233,569.13 and 509,350.50

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Solution

The third proportional to 233,569.13 and 509,350.50 is: 1,110,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,569.13 : 509,350.50 = 509,350.50 : x
  2. Step 2: Convert to fraction form
    233,569.13/509,350.50 = 509,350.50/x
  3. Step 3: Cross multiply
    233,569.13x = 509,350.50 × 509,350.50
  4. Step 4: Simplify right side
    233,569.13x = 259,437,931,850.25
  5. Step 5: Solve for x
    x = 259,437,931,850.25/233,569.13
  6. Step 6: Final answer
    x = 1,110,754.39

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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.