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Finding the Third Proportional to 358,047 and 501,912

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Solution

The third proportional to 358,047 and 501,912 is: 703,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047 : 501,912 = 501,912 : x
  2. Step 2: Convert to fraction form
    358,047/501,912 = 501,912/x
  3. Step 3: Cross multiply
    358,047x = 501,912 × 501,912
  4. Step 4: Simplify right side
    358,047x = 251,915,655,744
  5. Step 5: Solve for x
    x = 251,915,655,744/358,047
  6. Step 6: Final answer
    x = 703,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.