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Finding the Third Proportional to 576,484 and 916,049

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Solution

The third proportional to 576,484 and 916,049 is: 1,455,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,484 : 916,049 = 916,049 : x
  2. Step 2: Convert to fraction form
    576,484/916,049 = 916,049/x
  3. Step 3: Cross multiply
    576,484x = 916,049 × 916,049
  4. Step 4: Simplify right side
    576,484x = 839,145,770,401
  5. Step 5: Solve for x
    x = 839,145,770,401/576,484
  6. Step 6: Final answer
    x = 1,455,627.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.