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Finding the Third Proportional to 590,866 and 860,464

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Solution

The third proportional to 590,866 and 860,464 is: 1,253,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,866 : 860,464 = 860,464 : x
  2. Step 2: Convert to fraction form
    590,866/860,464 = 860,464/x
  3. Step 3: Cross multiply
    590,866x = 860,464 × 860,464
  4. Step 4: Simplify right side
    590,866x = 740,398,295,296
  5. Step 5: Solve for x
    x = 740,398,295,296/590,866
  6. Step 6: Final answer
    x = 1,253,073.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.