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Finding the Third Proportional to 516,000 and 758,833

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Solution

The third proportional to 516,000 and 758,833 is: 1,115,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,000 : 758,833 = 758,833 : x
  2. Step 2: Convert to fraction form
    516,000/758,833 = 758,833/x
  3. Step 3: Cross multiply
    516,000x = 758,833 × 758,833
  4. Step 4: Simplify right side
    516,000x = 575,827,521,889
  5. Step 5: Solve for x
    x = 575,827,521,889/516,000
  6. Step 6: Final answer
    x = 1,115,944.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.