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Finding the Third Proportional to 594,164.25 and 894,094.88

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Solution

The third proportional to 594,164.25 and 894,094.88 is: 1,345,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,164.25 : 894,094.88 = 894,094.88 : x
  2. Step 2: Convert to fraction form
    594,164.25/894,094.88 = 894,094.88/x
  3. Step 3: Cross multiply
    594,164.25x = 894,094.88 × 894,094.88
  4. Step 4: Simplify right side
    594,164.25x = 799,405,645,501.27
  5. Step 5: Solve for x
    x = 799,405,645,501.27/594,164.25
  6. Step 6: Final answer
    x = 1,345,428.72

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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.