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Finding the Third Proportional to 249,270 and 540,816

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Solution

The third proportional to 249,270 and 540,816 is: 1,173,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,270 : 540,816 = 540,816 : x
  2. Step 2: Convert to fraction form
    249,270/540,816 = 540,816/x
  3. Step 3: Cross multiply
    249,270x = 540,816 × 540,816
  4. Step 4: Simplify right side
    249,270x = 292,481,945,856
  5. Step 5: Solve for x
    x = 292,481,945,856/249,270
  6. Step 6: Final answer
    x = 1,173,353.98

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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.