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Finding the Third Proportional to 436,616 and 652,228

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Solution

The third proportional to 436,616 and 652,228 is: 974,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,616 : 652,228 = 652,228 : x
  2. Step 2: Convert to fraction form
    436,616/652,228 = 652,228/x
  3. Step 3: Cross multiply
    436,616x = 652,228 × 652,228
  4. Step 4: Simplify right side
    436,616x = 425,401,363,984
  5. Step 5: Solve for x
    x = 425,401,363,984/436,616
  6. Step 6: Final answer
    x = 974,314.65

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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.