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Finding the Third Proportional to 366,348 and 772,056

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Solution

The third proportional to 366,348 and 772,056 is: 1,627,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,348 : 772,056 = 772,056 : x
  2. Step 2: Convert to fraction form
    366,348/772,056 = 772,056/x
  3. Step 3: Cross multiply
    366,348x = 772,056 × 772,056
  4. Step 4: Simplify right side
    366,348x = 596,070,467,136
  5. Step 5: Solve for x
    x = 596,070,467,136/366,348
  6. Step 6: Final answer
    x = 1,627,060.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.