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Finding the Third Proportional to 249,453.75 and 548,733

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Solution

The third proportional to 249,453.75 and 548,733 is: 1,207,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,453.75 : 548,733 = 548,733 : x
  2. Step 2: Convert to fraction form
    249,453.75/548,733 = 548,733/x
  3. Step 3: Cross multiply
    249,453.75x = 548,733 × 548,733
  4. Step 4: Simplify right side
    249,453.75x = 301,107,905,289
  5. Step 5: Solve for x
    x = 301,107,905,289/249,453.75
  6. Step 6: Final answer
    x = 1,207,069.07

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Why These Related Problems?

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