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Finding the Third Proportional to 249,242 and 546,736

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Solution

The third proportional to 249,242 and 546,736 is: 1,199,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,242 : 546,736 = 546,736 : x
  2. Step 2: Convert to fraction form
    249,242/546,736 = 546,736/x
  3. Step 3: Cross multiply
    249,242x = 546,736 × 546,736
  4. Step 4: Simplify right side
    249,242x = 298,920,253,696
  5. Step 5: Solve for x
    x = 298,920,253,696/249,242
  6. Step 6: Final answer
    x = 1,199,317.34

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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.