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Finding the Third Proportional to 366,943 and 554,111

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Solution

The third proportional to 366,943 and 554,111 is: 836,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,943 : 554,111 = 554,111 : x
  2. Step 2: Convert to fraction form
    366,943/554,111 = 554,111/x
  3. Step 3: Cross multiply
    366,943x = 554,111 × 554,111
  4. Step 4: Simplify right side
    366,943x = 307,039,000,321
  5. Step 5: Solve for x
    x = 307,039,000,321/366,943
  6. Step 6: Final answer
    x = 836,748.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.