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Finding the Third Proportional to 343,726.35 and 505,054.62

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Solution

The third proportional to 343,726.35 and 505,054.62 is: 742,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,726.35 : 505,054.62 = 505,054.62 : x
  2. Step 2: Convert to fraction form
    343,726.35/505,054.62 = 505,054.62/x
  3. Step 3: Cross multiply
    343,726.35x = 505,054.62 × 505,054.62
  4. Step 4: Simplify right side
    343,726.35x = 255,080,166,342.41
  5. Step 5: Solve for x
    x = 255,080,166,342.41/343,726.35
  6. Step 6: Final answer
    x = 742,102.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.