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Finding the Third Proportional to 249,443 and 547,178

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Solution

The third proportional to 249,443 and 547,178 is: 1,200,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,443 : 547,178 = 547,178 : x
  2. Step 2: Convert to fraction form
    249,443/547,178 = 547,178/x
  3. Step 3: Cross multiply
    249,443x = 547,178 × 547,178
  4. Step 4: Simplify right side
    249,443x = 299,403,763,684
  5. Step 5: Solve for x
    x = 299,403,763,684/249,443
  6. Step 6: Final answer
    x = 1,200,289.30

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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.