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Finding the Third Proportional to 584,766 and 874,769

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Solution

The third proportional to 584,766 and 874,769 is: 1,308,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,766 : 874,769 = 874,769 : x
  2. Step 2: Convert to fraction form
    584,766/874,769 = 874,769/x
  3. Step 3: Cross multiply
    584,766x = 874,769 × 874,769
  4. Step 4: Simplify right side
    584,766x = 765,220,803,361
  5. Step 5: Solve for x
    x = 765,220,803,361/584,766
  6. Step 6: Final answer
    x = 1,308,593.19

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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.