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Finding the Third Proportional to 269,210 and 415,047

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Solution

The third proportional to 269,210 and 415,047 is: 639,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,210 : 415,047 = 415,047 : x
  2. Step 2: Convert to fraction form
    269,210/415,047 = 415,047/x
  3. Step 3: Cross multiply
    269,210x = 415,047 × 415,047
  4. Step 4: Simplify right side
    269,210x = 172,264,012,209
  5. Step 5: Solve for x
    x = 172,264,012,209/269,210
  6. Step 6: Final answer
    x = 639,887.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.