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Finding the Third Proportional to 292,054 and 627,740

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Solution

The third proportional to 292,054 and 627,740 is: 1,349,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,054 : 627,740 = 627,740 : x
  2. Step 2: Convert to fraction form
    292,054/627,740 = 627,740/x
  3. Step 3: Cross multiply
    292,054x = 627,740 × 627,740
  4. Step 4: Simplify right side
    292,054x = 394,057,507,600
  5. Step 5: Solve for x
    x = 394,057,507,600/292,054
  6. Step 6: Final answer
    x = 1,349,262.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.