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Finding the Third Proportional to 352,368 and 733,920

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Solution

The third proportional to 352,368 and 733,920 is: 1,528,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,368 : 733,920 = 733,920 : x
  2. Step 2: Convert to fraction form
    352,368/733,920 = 733,920/x
  3. Step 3: Cross multiply
    352,368x = 733,920 × 733,920
  4. Step 4: Simplify right side
    352,368x = 538,638,566,400
  5. Step 5: Solve for x
    x = 538,638,566,400/352,368
  6. Step 6: Final answer
    x = 1,528,625.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.