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Finding the Third Proportional to 584,313 and 876,831

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Solution

The third proportional to 584,313 and 876,831 is: 1,315,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,313 : 876,831 = 876,831 : x
  2. Step 2: Convert to fraction form
    584,313/876,831 = 876,831/x
  3. Step 3: Cross multiply
    584,313x = 876,831 × 876,831
  4. Step 4: Simplify right side
    584,313x = 768,832,602,561
  5. Step 5: Solve for x
    x = 768,832,602,561/584,313
  6. Step 6: Final answer
    x = 1,315,788.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.