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Finding the Third Proportional to 389,444 and 601,362

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Solution

The third proportional to 389,444 and 601,362 is: 928,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,444 : 601,362 = 601,362 : x
  2. Step 2: Convert to fraction form
    389,444/601,362 = 601,362/x
  3. Step 3: Cross multiply
    389,444x = 601,362 × 601,362
  4. Step 4: Simplify right side
    389,444x = 361,636,255,044
  5. Step 5: Solve for x
    x = 361,636,255,044/389,444
  6. Step 6: Final answer
    x = 928,596.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.