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Finding the Third Proportional to 292,969 and 627,410

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Solution

The third proportional to 292,969 and 627,410 is: 1,343,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,969 : 627,410 = 627,410 : x
  2. Step 2: Convert to fraction form
    292,969/627,410 = 627,410/x
  3. Step 3: Cross multiply
    292,969x = 627,410 × 627,410
  4. Step 4: Simplify right side
    292,969x = 393,643,308,100
  5. Step 5: Solve for x
    x = 393,643,308,100/292,969
  6. Step 6: Final answer
    x = 1,343,634.68

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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.