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Finding the Third Proportional to 597,172.50 and 1,264,329

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Solution

The third proportional to 597,172.50 and 1,264,329 is: 2,676,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,172.50 : 1,264,329 = 1,264,329 : x
  2. Step 2: Convert to fraction form
    597,172.50/1,264,329 = 1,264,329/x
  3. Step 3: Cross multiply
    597,172.50x = 1,264,329 × 1,264,329
  4. Step 4: Simplify right side
    597,172.50x = 1,598,527,820,241
  5. Step 5: Solve for x
    x = 1,598,527,820,241/597,172.50
  6. Step 6: Final answer
    x = 2,676,827.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.