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Finding the Third Proportional to 407,358 and 894,960

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Solution

The third proportional to 407,358 and 894,960 is: 1,966,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,358 : 894,960 = 894,960 : x
  2. Step 2: Convert to fraction form
    407,358/894,960 = 894,960/x
  3. Step 3: Cross multiply
    407,358x = 894,960 × 894,960
  4. Step 4: Simplify right side
    407,358x = 800,953,401,600
  5. Step 5: Solve for x
    x = 800,953,401,600/407,358
  6. Step 6: Final answer
    x = 1,966,214.98

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Why These Related Problems?

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