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Finding the Third Proportional to 249,712.50 and 550,326

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Solution

The third proportional to 249,712.50 and 550,326 is: 1,212,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,712.50 : 550,326 = 550,326 : x
  2. Step 2: Convert to fraction form
    249,712.50/550,326 = 550,326/x
  3. Step 3: Cross multiply
    249,712.50x = 550,326 × 550,326
  4. Step 4: Simplify right side
    249,712.50x = 302,858,706,276
  5. Step 5: Solve for x
    x = 302,858,706,276/249,712.50
  6. Step 6: Final answer
    x = 1,212,829.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.