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Finding the Third Proportional to 249,169.50 and 584,959.50

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Solution

The third proportional to 249,169.50 and 584,959.50 is: 1,373,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,169.50 : 584,959.50 = 584,959.50 : x
  2. Step 2: Convert to fraction form
    249,169.50/584,959.50 = 584,959.50/x
  3. Step 3: Cross multiply
    249,169.50x = 584,959.50 × 584,959.50
  4. Step 4: Simplify right side
    249,169.50x = 342,177,616,640.25
  5. Step 5: Solve for x
    x = 342,177,616,640.25/249,169.50
  6. Step 6: Final answer
    x = 1,373,272.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.