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Finding the Third Proportional to 264,752 and 404,054

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Solution

The third proportional to 264,752 and 404,054 is: 616,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,752 : 404,054 = 404,054 : x
  2. Step 2: Convert to fraction form
    264,752/404,054 = 404,054/x
  3. Step 3: Cross multiply
    264,752x = 404,054 × 404,054
  4. Step 4: Simplify right side
    264,752x = 163,259,634,916
  5. Step 5: Solve for x
    x = 163,259,634,916/264,752
  6. Step 6: Final answer
    x = 616,651.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.