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Finding the Third Proportional to 259,312 and 573,056

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Solution

The third proportional to 259,312 and 573,056 is: 1,266,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312 : 573,056 = 573,056 : x
  2. Step 2: Convert to fraction form
    259,312/573,056 = 573,056/x
  3. Step 3: Cross multiply
    259,312x = 573,056 × 573,056
  4. Step 4: Simplify right side
    259,312x = 328,393,179,136
  5. Step 5: Solve for x
    x = 328,393,179,136/259,312
  6. Step 6: Final answer
    x = 1,266,401.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.