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Finding the Third Proportional to 298,242 and 627,264

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Solution

The third proportional to 298,242 and 627,264 is: 1,319,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,242 : 627,264 = 627,264 : x
  2. Step 2: Convert to fraction form
    298,242/627,264 = 627,264/x
  3. Step 3: Cross multiply
    298,242x = 627,264 × 627,264
  4. Step 4: Simplify right side
    298,242x = 393,460,125,696
  5. Step 5: Solve for x
    x = 393,460,125,696/298,242
  6. Step 6: Final answer
    x = 1,319,264.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.