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Finding the Third Proportional to 350,588 and 501,345

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Solution

The third proportional to 350,588 and 501,345 is: 716,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,588 : 501,345 = 501,345 : x
  2. Step 2: Convert to fraction form
    350,588/501,345 = 501,345/x
  3. Step 3: Cross multiply
    350,588x = 501,345 × 501,345
  4. Step 4: Simplify right side
    350,588x = 251,346,809,025
  5. Step 5: Solve for x
    x = 251,346,809,025/350,588
  6. Step 6: Final answer
    x = 716,929.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.