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Finding the Third Proportional to 576,488 and 916,055

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Solution

The third proportional to 576,488 and 916,055 is: 1,455,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,488 : 916,055 = 916,055 : x
  2. Step 2: Convert to fraction form
    576,488/916,055 = 916,055/x
  3. Step 3: Cross multiply
    576,488x = 916,055 × 916,055
  4. Step 4: Simplify right side
    576,488x = 839,156,763,025
  5. Step 5: Solve for x
    x = 839,156,763,025/576,488
  6. Step 6: Final answer
    x = 1,455,636.13

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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.