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Finding the Third Proportional to 249,740 and 543,828

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Solution

The third proportional to 249,740 and 543,828 is: 1,184,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,740 : 543,828 = 543,828 : x
  2. Step 2: Convert to fraction form
    249,740/543,828 = 543,828/x
  3. Step 3: Cross multiply
    249,740x = 543,828 × 543,828
  4. Step 4: Simplify right side
    249,740x = 295,748,893,584
  5. Step 5: Solve for x
    x = 295,748,893,584/249,740
  6. Step 6: Final answer
    x = 1,184,227.17

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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.