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Finding the Third Proportional to 249,564 and 541,170

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Solution

The third proportional to 249,564 and 541,170 is: 1,173,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564 : 541,170 = 541,170 : x
  2. Step 2: Convert to fraction form
    249,564/541,170 = 541,170/x
  3. Step 3: Cross multiply
    249,564x = 541,170 × 541,170
  4. Step 4: Simplify right side
    249,564x = 292,864,968,900
  5. Step 5: Solve for x
    x = 292,864,968,900/249,564
  6. Step 6: Final answer
    x = 1,173,506.47

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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.