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Finding the Third Proportional to 233,184 and 502,047

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Solution

The third proportional to 233,184 and 502,047 is: 1,080,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,184 : 502,047 = 502,047 : x
  2. Step 2: Convert to fraction form
    233,184/502,047 = 502,047/x
  3. Step 3: Cross multiply
    233,184x = 502,047 × 502,047
  4. Step 4: Simplify right side
    233,184x = 252,051,190,209
  5. Step 5: Solve for x
    x = 252,051,190,209/233,184
  6. Step 6: Final answer
    x = 1,080,911.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.