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Finding the Third Proportional to 343,546 and 505,046

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Solution

The third proportional to 343,546 and 505,046 is: 742,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,546 : 505,046 = 505,046 : x
  2. Step 2: Convert to fraction form
    343,546/505,046 = 505,046/x
  3. Step 3: Cross multiply
    343,546x = 505,046 × 505,046
  4. Step 4: Simplify right side
    343,546x = 255,071,462,116
  5. Step 5: Solve for x
    x = 255,071,462,116/343,546
  6. Step 6: Final answer
    x = 742,466.69

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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.