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Finding the Third Proportional to 398,358 and 933,201

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Solution

The third proportional to 398,358 and 933,201 is: 2,186,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,358 : 933,201 = 933,201 : x
  2. Step 2: Convert to fraction form
    398,358/933,201 = 933,201/x
  3. Step 3: Cross multiply
    398,358x = 933,201 × 933,201
  4. Step 4: Simplify right side
    398,358x = 870,864,106,401
  5. Step 5: Solve for x
    x = 870,864,106,401/398,358
  6. Step 6: Final answer
    x = 2,186,134.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.