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Finding the Third Proportional to 436,653 and 652,282

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Solution

The third proportional to 436,653 and 652,282 is: 974,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,653 : 652,282 = 652,282 : x
  2. Step 2: Convert to fraction form
    436,653/652,282 = 652,282/x
  3. Step 3: Cross multiply
    436,653x = 652,282 × 652,282
  4. Step 4: Simplify right side
    436,653x = 425,471,807,524
  5. Step 5: Solve for x
    x = 425,471,807,524/436,653
  6. Step 6: Final answer
    x = 974,393.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.