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Finding the Third Proportional to 594,364 and 894,364

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Solution

The third proportional to 594,364 and 894,364 is: 1,345,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,364 : 894,364 = 894,364 : x
  2. Step 2: Convert to fraction form
    594,364/894,364 = 894,364/x
  3. Step 3: Cross multiply
    594,364x = 894,364 × 894,364
  4. Step 4: Simplify right side
    594,364x = 799,886,964,496
  5. Step 5: Solve for x
    x = 799,886,964,496/594,364
  6. Step 6: Final answer
    x = 1,345,786.36

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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.