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Finding the Third Proportional to 436,602 and 652,207

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Solution

The third proportional to 436,602 and 652,207 is: 974,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,602 : 652,207 = 652,207 : x
  2. Step 2: Convert to fraction form
    436,602/652,207 = 652,207/x
  3. Step 3: Cross multiply
    436,602x = 652,207 × 652,207
  4. Step 4: Simplify right side
    436,602x = 425,373,970,849
  5. Step 5: Solve for x
    x = 425,373,970,849/436,602
  6. Step 6: Final answer
    x = 974,283.15

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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.