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Finding the Third Proportional to 249,259.25 and 543,631.63

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Solution

The third proportional to 249,259.25 and 543,631.63 is: 1,185,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,259.25 : 543,631.63 = 543,631.63 : x
  2. Step 2: Convert to fraction form
    249,259.25/543,631.63 = 543,631.63/x
  3. Step 3: Cross multiply
    249,259.25x = 543,631.63 × 543,631.63
  4. Step 4: Simplify right side
    249,259.25x = 295,535,343,700.14
  5. Step 5: Solve for x
    x = 295,535,343,700.14/249,259.25
  6. Step 6: Final answer
    x = 1,185,654.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.