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Finding the Third Proportional to 309,653 and 436,047

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Solution

The third proportional to 309,653 and 436,047 is: 614,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,653 : 436,047 = 436,047 : x
  2. Step 2: Convert to fraction form
    309,653/436,047 = 436,047/x
  3. Step 3: Cross multiply
    309,653x = 436,047 × 436,047
  4. Step 4: Simplify right side
    309,653x = 190,136,986,209
  5. Step 5: Solve for x
    x = 190,136,986,209/309,653
  6. Step 6: Final answer
    x = 614,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.