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Finding the Third Proportional to 414,480 and 894,300

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Solution

The third proportional to 414,480 and 894,300 is: 1,929,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,480 : 894,300 = 894,300 : x
  2. Step 2: Convert to fraction form
    414,480/894,300 = 894,300/x
  3. Step 3: Cross multiply
    414,480x = 894,300 × 894,300
  4. Step 4: Simplify right side
    414,480x = 799,772,490,000
  5. Step 5: Solve for x
    x = 799,772,490,000/414,480
  6. Step 6: Final answer
    x = 1,929,580.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.