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Finding the Third Proportional to 576,494 and 916,064

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Solution

The third proportional to 576,494 and 916,064 is: 1,455,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,494 : 916,064 = 916,064 : x
  2. Step 2: Convert to fraction form
    576,494/916,064 = 916,064/x
  3. Step 3: Cross multiply
    576,494x = 916,064 × 916,064
  4. Step 4: Simplify right side
    576,494x = 839,173,252,096
  5. Step 5: Solve for x
    x = 839,173,252,096/576,494
  6. Step 6: Final answer
    x = 1,455,649.59

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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.