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Finding the Third Proportional to 562,231.50 and 894,184.50

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Solution

The third proportional to 562,231.50 and 894,184.50 is: 1,422,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,231.50 : 894,184.50 = 894,184.50 : x
  2. Step 2: Convert to fraction form
    562,231.50/894,184.50 = 894,184.50/x
  3. Step 3: Cross multiply
    562,231.50x = 894,184.50 × 894,184.50
  4. Step 4: Simplify right side
    562,231.50x = 799,565,920,040.25
  5. Step 5: Solve for x
    x = 799,565,920,040.25/562,231.50
  6. Step 6: Final answer
    x = 1,422,129.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.