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Finding the Third Proportional to 443,154 and 645,354

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Solution

The third proportional to 443,154 and 645,354 is: 939,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,154 : 645,354 = 645,354 : x
  2. Step 2: Convert to fraction form
    443,154/645,354 = 645,354/x
  3. Step 3: Cross multiply
    443,154x = 645,354 × 645,354
  4. Step 4: Simplify right side
    443,154x = 416,481,785,316
  5. Step 5: Solve for x
    x = 416,481,785,316/443,154
  6. Step 6: Final answer
    x = 939,812.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.