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Finding the Third Proportional to 292,991 and 627,454

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Solution

The third proportional to 292,991 and 627,454 is: 1,343,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,991 : 627,454 = 627,454 : x
  2. Step 2: Convert to fraction form
    292,991/627,454 = 627,454/x
  3. Step 3: Cross multiply
    292,991x = 627,454 × 627,454
  4. Step 4: Simplify right side
    292,991x = 393,698,522,116
  5. Step 5: Solve for x
    x = 393,698,522,116/292,991
  6. Step 6: Final answer
    x = 1,343,722.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.