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Finding the Third Proportional to 259,416 and 552,312

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Solution

The third proportional to 259,416 and 552,312 is: 1,175,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416 : 552,312 = 552,312 : x
  2. Step 2: Convert to fraction form
    259,416/552,312 = 552,312/x
  3. Step 3: Cross multiply
    259,416x = 552,312 × 552,312
  4. Step 4: Simplify right side
    259,416x = 305,048,545,344
  5. Step 5: Solve for x
    x = 305,048,545,344/259,416
  6. Step 6: Final answer
    x = 1,175,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.