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Finding the Third Proportional to 293,860.50 and 406,048.50

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Solution

The third proportional to 293,860.50 and 406,048.50 is: 561,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,860.50 : 406,048.50 = 406,048.50 : x
  2. Step 2: Convert to fraction form
    293,860.50/406,048.50 = 406,048.50/x
  3. Step 3: Cross multiply
    293,860.50x = 406,048.50 × 406,048.50
  4. Step 4: Simplify right side
    293,860.50x = 164,875,384,352.25
  5. Step 5: Solve for x
    x = 164,875,384,352.25/293,860.50
  6. Step 6: Final answer
    x = 561,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.