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Finding the Third Proportional to 449,767.50 and 966,231

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Solution

The third proportional to 449,767.50 and 966,231 is: 2,075,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,767.50 : 966,231 = 966,231 : x
  2. Step 2: Convert to fraction form
    449,767.50/966,231 = 966,231/x
  3. Step 3: Cross multiply
    449,767.50x = 966,231 × 966,231
  4. Step 4: Simplify right side
    449,767.50x = 933,602,345,361
  5. Step 5: Solve for x
    x = 933,602,345,361/449,767.50
  6. Step 6: Final answer
    x = 2,075,744.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.