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Finding the Third Proportional to 369,045 and 551,637

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Solution

The third proportional to 369,045 and 551,637 is: 824,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,045 : 551,637 = 551,637 : x
  2. Step 2: Convert to fraction form
    369,045/551,637 = 551,637/x
  3. Step 3: Cross multiply
    369,045x = 551,637 × 551,637
  4. Step 4: Simplify right side
    369,045x = 304,303,379,769
  5. Step 5: Solve for x
    x = 304,303,379,769/369,045
  6. Step 6: Final answer
    x = 824,569.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.