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Finding the Third Proportional to 295,878 and 646,998

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Solution

The third proportional to 295,878 and 646,998 is: 1,414,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,878 : 646,998 = 646,998 : x
  2. Step 2: Convert to fraction form
    295,878/646,998 = 646,998/x
  3. Step 3: Cross multiply
    295,878x = 646,998 × 646,998
  4. Step 4: Simplify right side
    295,878x = 418,606,412,004
  5. Step 5: Solve for x
    x = 418,606,412,004/295,878
  6. Step 6: Final answer
    x = 1,414,793.98

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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.