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Finding the Third Proportional to 291,449,175 and 416,775,521

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Solution

The third proportional to 291,449,175 and 416,775,521 is: 595,993,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,449,175 : 416,775,521 = 416,775,521 : x
  2. Step 2: Convert to fraction form
    291,449,175/416,775,521 = 416,775,521/x
  3. Step 3: Cross multiply
    291,449,175x = 416,775,521 × 416,775,521
  4. Step 4: Simplify right side
    291,449,175x = 173,701,834,904,821,440
  5. Step 5: Solve for x
    x = 173,701,834,904,821,440/291,449,175
  6. Step 6: Final answer
    x = 595,993,572.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.