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Finding the Third Proportional to 404,368 and 616,344

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Solution

The third proportional to 404,368 and 616,344 is: 939,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,368 : 616,344 = 616,344 : x
  2. Step 2: Convert to fraction form
    404,368/616,344 = 616,344/x
  3. Step 3: Cross multiply
    404,368x = 616,344 × 616,344
  4. Step 4: Simplify right side
    404,368x = 379,879,926,336
  5. Step 5: Solve for x
    x = 379,879,926,336/404,368
  6. Step 6: Final answer
    x = 939,441.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.