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Finding the Third Proportional to 407,316 and 894,328

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Solution

The third proportional to 407,316 and 894,328 is: 1,963,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,316 : 894,328 = 894,328 : x
  2. Step 2: Convert to fraction form
    407,316/894,328 = 894,328/x
  3. Step 3: Cross multiply
    407,316x = 894,328 × 894,328
  4. Step 4: Simplify right side
    407,316x = 799,822,571,584
  5. Step 5: Solve for x
    x = 799,822,571,584/407,316
  6. Step 6: Final answer
    x = 1,963,641.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.