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Finding the Third Proportional to 340,644 and 703,154

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Solution

The third proportional to 340,644 and 703,154 is: 1,451,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,644 : 703,154 = 703,154 : x
  2. Step 2: Convert to fraction form
    340,644/703,154 = 703,154/x
  3. Step 3: Cross multiply
    340,644x = 703,154 × 703,154
  4. Step 4: Simplify right side
    340,644x = 494,425,547,716
  5. Step 5: Solve for x
    x = 494,425,547,716/340,644
  6. Step 6: Final answer
    x = 1,451,443.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.