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Finding the Third Proportional to 678,233 and 904,132

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Solution

The third proportional to 678,233 and 904,132 is: 1,205,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,233 : 904,132 = 904,132 : x
  2. Step 2: Convert to fraction form
    678,233/904,132 = 904,132/x
  3. Step 3: Cross multiply
    678,233x = 904,132 × 904,132
  4. Step 4: Simplify right side
    678,233x = 817,454,673,424
  5. Step 5: Solve for x
    x = 817,454,673,424/678,233
  6. Step 6: Final answer
    x = 1,205,271.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.