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Finding the Third Proportional to 403,878 and 633,618

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Solution

The third proportional to 403,878 and 633,618 is: 994,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,878 : 633,618 = 633,618 : x
  2. Step 2: Convert to fraction form
    403,878/633,618 = 633,618/x
  3. Step 3: Cross multiply
    403,878x = 633,618 × 633,618
  4. Step 4: Simplify right side
    403,878x = 401,471,769,924
  5. Step 5: Solve for x
    x = 401,471,769,924/403,878
  6. Step 6: Final answer
    x = 994,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.