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Finding the Third Proportional to 303,564 and 666,178

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Solution

The third proportional to 303,564 and 666,178 is: 1,461,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564 : 666,178 = 666,178 : x
  2. Step 2: Convert to fraction form
    303,564/666,178 = 666,178/x
  3. Step 3: Cross multiply
    303,564x = 666,178 × 666,178
  4. Step 4: Simplify right side
    303,564x = 443,793,127,684
  5. Step 5: Solve for x
    x = 443,793,127,684/303,564
  6. Step 6: Final answer
    x = 1,461,942.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.