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Finding the Third Proportional to 443,596.50 and 688,145.63

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Solution

The third proportional to 443,596.50 and 688,145.63 is: 1,067,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,596.50 : 688,145.63 = 688,145.63 : x
  2. Step 2: Convert to fraction form
    443,596.50/688,145.63 = 688,145.63/x
  3. Step 3: Cross multiply
    443,596.50x = 688,145.63 × 688,145.63
  4. Step 4: Simplify right side
    443,596.50x = 473,544,401,206.64
  5. Step 5: Solve for x
    x = 473,544,401,206.64/443,596.50
  6. Step 6: Final answer
    x = 1,067,511.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.