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Finding the Third Proportional to 350,983 and 758,007

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Solution

The third proportional to 350,983 and 758,007 is: 1,637,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,983 : 758,007 = 758,007 : x
  2. Step 2: Convert to fraction form
    350,983/758,007 = 758,007/x
  3. Step 3: Cross multiply
    350,983x = 758,007 × 758,007
  4. Step 4: Simplify right side
    350,983x = 574,574,612,049
  5. Step 5: Solve for x
    x = 574,574,612,049/350,983
  6. Step 6: Final answer
    x = 1,637,043.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.