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Finding the Third Proportional to 249,706 and 550,313

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Solution

The third proportional to 249,706 and 550,313 is: 1,212,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,706 : 550,313 = 550,313 : x
  2. Step 2: Convert to fraction form
    249,706/550,313 = 550,313/x
  3. Step 3: Cross multiply
    249,706x = 550,313 × 550,313
  4. Step 4: Simplify right side
    249,706x = 302,844,397,969
  5. Step 5: Solve for x
    x = 302,844,397,969/249,706
  6. Step 6: Final answer
    x = 1,212,803.85

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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.