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Finding the Third Proportional to 584,279.58 and 897,524.93

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Solution

The third proportional to 584,279.58 and 897,524.93 is: 1,378,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,279.58 : 897,524.93 = 897,524.93 : x
  2. Step 2: Convert to fraction form
    584,279.58/897,524.93 = 897,524.93/x
  3. Step 3: Cross multiply
    584,279.58x = 897,524.93 × 897,524.93
  4. Step 4: Simplify right side
    584,279.58x = 805,550,999,410.55
  5. Step 5: Solve for x
    x = 805,550,999,410.55/584,279.58
  6. Step 6: Final answer
    x = 1,378,708.12

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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.