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Finding the Third Proportional to 213,037 and 455,598

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Solution

The third proportional to 213,037 and 455,598 is: 974,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,037 : 455,598 = 455,598 : x
  2. Step 2: Convert to fraction form
    213,037/455,598 = 455,598/x
  3. Step 3: Cross multiply
    213,037x = 455,598 × 455,598
  4. Step 4: Simplify right side
    213,037x = 207,569,537,604
  5. Step 5: Solve for x
    x = 207,569,537,604/213,037
  6. Step 6: Final answer
    x = 974,335.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.