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Finding the Third Proportional to 249,222.23 and 546,694.73

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Solution

The third proportional to 249,222.23 and 546,694.73 is: 1,199,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,222.23 : 546,694.73 = 546,694.73 : x
  2. Step 2: Convert to fraction form
    249,222.23/546,694.73 = 546,694.73/x
  3. Step 3: Cross multiply
    249,222.23x = 546,694.73 × 546,694.73
  4. Step 4: Simplify right side
    249,222.23x = 298,875,132,593.35
  5. Step 5: Solve for x
    x = 298,875,132,593.35/249,222.23
  6. Step 6: Final answer
    x = 1,199,231.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.