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Finding the Third Proportional to 249,259 and 543,632

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Solution

The third proportional to 249,259 and 543,632 is: 1,185,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,259 : 543,632 = 543,632 : x
  2. Step 2: Convert to fraction form
    249,259/543,632 = 543,632/x
  3. Step 3: Cross multiply
    249,259x = 543,632 × 543,632
  4. Step 4: Simplify right side
    249,259x = 295,535,751,424
  5. Step 5: Solve for x
    x = 295,535,751,424/249,259
  6. Step 6: Final answer
    x = 1,185,657.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.