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Finding the Third Proportional to 249,224 and 546,698

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Solution

The third proportional to 249,224 and 546,698 is: 1,199,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,224 : 546,698 = 546,698 : x
  2. Step 2: Convert to fraction form
    249,224/546,698 = 546,698/x
  3. Step 3: Cross multiply
    249,224x = 546,698 × 546,698
  4. Step 4: Simplify right side
    249,224x = 298,878,703,204
  5. Step 5: Solve for x
    x = 298,878,703,204/249,224
  6. Step 6: Final answer
    x = 1,199,237.25

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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.