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Finding the Third Proportional to 233,145 and 499,366.50

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Solution

The third proportional to 233,145 and 499,366.50 is: 1,069,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,145 : 499,366.50 = 499,366.50 : x
  2. Step 2: Convert to fraction form
    233,145/499,366.50 = 499,366.50/x
  3. Step 3: Cross multiply
    233,145x = 499,366.50 × 499,366.50
  4. Step 4: Simplify right side
    233,145x = 249,366,901,322.25
  5. Step 5: Solve for x
    x = 249,366,901,322.25/233,145
  6. Step 6: Final answer
    x = 1,069,578.59

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