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Finding the Third Proportional to 576,486 and 916,050

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Solution

The third proportional to 576,486 and 916,050 is: 1,455,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,486 : 916,050 = 916,050 : x
  2. Step 2: Convert to fraction form
    576,486/916,050 = 916,050/x
  3. Step 3: Cross multiply
    576,486x = 916,050 × 916,050
  4. Step 4: Simplify right side
    576,486x = 839,147,602,500
  5. Step 5: Solve for x
    x = 839,147,602,500/576,486
  6. Step 6: Final answer
    x = 1,455,625.29

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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.