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Finding the Third Proportional to 553,950 and 904,463

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Solution

The third proportional to 553,950 and 904,463 is: 1,476,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,950 : 904,463 = 904,463 : x
  2. Step 2: Convert to fraction form
    553,950/904,463 = 904,463/x
  3. Step 3: Cross multiply
    553,950x = 904,463 × 904,463
  4. Step 4: Simplify right side
    553,950x = 818,053,318,369
  5. Step 5: Solve for x
    x = 818,053,318,369/553,950
  6. Step 6: Final answer
    x = 1,476,763.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.