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Finding the Third Proportional to 293,862 and 406,050.50

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Solution

The third proportional to 293,862 and 406,050.50 is: 561,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,862 : 406,050.50 = 406,050.50 : x
  2. Step 2: Convert to fraction form
    293,862/406,050.50 = 406,050.50/x
  3. Step 3: Cross multiply
    293,862x = 406,050.50 × 406,050.50
  4. Step 4: Simplify right side
    293,862x = 164,877,008,550.25
  5. Step 5: Solve for x
    x = 164,877,008,550.25/293,862
  6. Step 6: Final answer
    x = 561,069.51

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