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Finding the Third Proportional to 578,364 and 864,138

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Solution

The third proportional to 578,364 and 864,138 is: 1,291,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,364 : 864,138 = 864,138 : x
  2. Step 2: Convert to fraction form
    578,364/864,138 = 864,138/x
  3. Step 3: Cross multiply
    578,364x = 864,138 × 864,138
  4. Step 4: Simplify right side
    578,364x = 746,734,483,044
  5. Step 5: Solve for x
    x = 746,734,483,044/578,364
  6. Step 6: Final answer
    x = 1,291,115.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.