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Finding the Third Proportional to 384,924 and 554,466

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Solution

The third proportional to 384,924 and 554,466 is: 798,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,924 : 554,466 = 554,466 : x
  2. Step 2: Convert to fraction form
    384,924/554,466 = 554,466/x
  3. Step 3: Cross multiply
    384,924x = 554,466 × 554,466
  4. Step 4: Simplify right side
    384,924x = 307,432,545,156
  5. Step 5: Solve for x
    x = 307,432,545,156/384,924
  6. Step 6: Final answer
    x = 798,683.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.