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Finding the Third Proportional to 305,303 and 661,426

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Solution

The third proportional to 305,303 and 661,426 is: 1,432,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,303 : 661,426 = 661,426 : x
  2. Step 2: Convert to fraction form
    305,303/661,426 = 661,426/x
  3. Step 3: Cross multiply
    305,303x = 661,426 × 661,426
  4. Step 4: Simplify right side
    305,303x = 437,484,353,476
  5. Step 5: Solve for x
    x = 437,484,353,476/305,303
  6. Step 6: Final answer
    x = 1,432,951.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.