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Finding the Third Proportional to 249,240 and 540,546

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Solution

The third proportional to 249,240 and 540,546 is: 1,172,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,240 : 540,546 = 540,546 : x
  2. Step 2: Convert to fraction form
    249,240/540,546 = 540,546/x
  3. Step 3: Cross multiply
    249,240x = 540,546 × 540,546
  4. Step 4: Simplify right side
    249,240x = 292,189,978,116
  5. Step 5: Solve for x
    x = 292,189,978,116/249,240
  6. Step 6: Final answer
    x = 1,172,323.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.