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Finding the Third Proportional to 559,684 and 887,664

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Solution

The third proportional to 559,684 and 887,664 is: 1,407,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,684 : 887,664 = 887,664 : x
  2. Step 2: Convert to fraction form
    559,684/887,664 = 887,664/x
  3. Step 3: Cross multiply
    559,684x = 887,664 × 887,664
  4. Step 4: Simplify right side
    559,684x = 787,947,376,896
  5. Step 5: Solve for x
    x = 787,947,376,896/559,684
  6. Step 6: Final answer
    x = 1,407,843.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.