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Finding the Third Proportional to 249,054 and 550,438.50

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Solution

The third proportional to 249,054 and 550,438.50 is: 1,216,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,054 : 550,438.50 = 550,438.50 : x
  2. Step 2: Convert to fraction form
    249,054/550,438.50 = 550,438.50/x
  3. Step 3: Cross multiply
    249,054x = 550,438.50 × 550,438.50
  4. Step 4: Simplify right side
    249,054x = 302,982,542,282.25
  5. Step 5: Solve for x
    x = 302,982,542,282.25/249,054
  6. Step 6: Final answer
    x = 1,216,533.53

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.