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Finding the Third Proportional to 300,348 and 652,968

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Solution

The third proportional to 300,348 and 652,968 is: 1,419,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,348 : 652,968 = 652,968 : x
  2. Step 2: Convert to fraction form
    300,348/652,968 = 652,968/x
  3. Step 3: Cross multiply
    300,348x = 652,968 × 652,968
  4. Step 4: Simplify right side
    300,348x = 426,367,209,024
  5. Step 5: Solve for x
    x = 426,367,209,024/300,348
  6. Step 6: Final answer
    x = 1,419,577.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.