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Finding the Third Proportional to 286,397 and 565,564

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Solution

The third proportional to 286,397 and 565,564 is: 1,116,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,397 : 565,564 = 565,564 : x
  2. Step 2: Convert to fraction form
    286,397/565,564 = 565,564/x
  3. Step 3: Cross multiply
    286,397x = 565,564 × 565,564
  4. Step 4: Simplify right side
    286,397x = 319,862,638,096
  5. Step 5: Solve for x
    x = 319,862,638,096/286,397
  6. Step 6: Final answer
    x = 1,116,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.