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Finding the Third Proportional to 292,999 and 621,967

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Solution

The third proportional to 292,999 and 621,967 is: 1,320,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,999 : 621,967 = 621,967 : x
  2. Step 2: Convert to fraction form
    292,999/621,967 = 621,967/x
  3. Step 3: Cross multiply
    292,999x = 621,967 × 621,967
  4. Step 4: Simplify right side
    292,999x = 386,842,949,089
  5. Step 5: Solve for x
    x = 386,842,949,089/292,999
  6. Step 6: Final answer
    x = 1,320,287.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.