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Finding the Third Proportional to 249,546 and 541,130

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Solution

The third proportional to 249,546 and 541,130 is: 1,173,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,546 : 541,130 = 541,130 : x
  2. Step 2: Convert to fraction form
    249,546/541,130 = 541,130/x
  3. Step 3: Cross multiply
    249,546x = 541,130 × 541,130
  4. Step 4: Simplify right side
    249,546x = 292,821,676,900
  5. Step 5: Solve for x
    x = 292,821,676,900/249,546
  6. Step 6: Final answer
    x = 1,173,417.63

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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.