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Finding the Third Proportional to 295,875 and 646,992

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Solution

The third proportional to 295,875 and 646,992 is: 1,414,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,875 : 646,992 = 646,992 : x
  2. Step 2: Convert to fraction form
    295,875/646,992 = 646,992/x
  3. Step 3: Cross multiply
    295,875x = 646,992 × 646,992
  4. Step 4: Simplify right side
    295,875x = 418,598,648,064
  5. Step 5: Solve for x
    x = 418,598,648,064/295,875
  6. Step 6: Final answer
    x = 1,414,782.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.