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Finding the Third Proportional to 559,008 and 838,896

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Solution

The third proportional to 559,008 and 838,896 is: 1,258,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,008 : 838,896 = 838,896 : x
  2. Step 2: Convert to fraction form
    559,008/838,896 = 838,896/x
  3. Step 3: Cross multiply
    559,008x = 838,896 × 838,896
  4. Step 4: Simplify right side
    559,008x = 703,746,498,816
  5. Step 5: Solve for x
    x = 703,746,498,816/559,008
  6. Step 6: Final answer
    x = 1,258,920.26

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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.