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Finding the Third Proportional to 559,488 and 860,469

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Solution

The third proportional to 559,488 and 860,469 is: 1,323,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,488 : 860,469 = 860,469 : x
  2. Step 2: Convert to fraction form
    559,488/860,469 = 860,469/x
  3. Step 3: Cross multiply
    559,488x = 860,469 × 860,469
  4. Step 4: Simplify right side
    559,488x = 740,406,899,961
  5. Step 5: Solve for x
    x = 740,406,899,961/559,488
  6. Step 6: Final answer
    x = 1,323,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.