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Finding the Third Proportional to 594,114 and 894,008

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Solution

The third proportional to 594,114 and 894,008 is: 1,345,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,114 : 894,008 = 894,008 : x
  2. Step 2: Convert to fraction form
    594,114/894,008 = 894,008/x
  3. Step 3: Cross multiply
    594,114x = 894,008 × 894,008
  4. Step 4: Simplify right side
    594,114x = 799,250,304,064
  5. Step 5: Solve for x
    x = 799,250,304,064/594,114
  6. Step 6: Final answer
    x = 1,345,281.05

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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.