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Finding the Third Proportional to 356,654.25 and 742,772.25

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Solution

The third proportional to 356,654.25 and 742,772.25 is: 1,546,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,654.25 : 742,772.25 = 742,772.25 : x
  2. Step 2: Convert to fraction form
    356,654.25/742,772.25 = 742,772.25/x
  3. Step 3: Cross multiply
    356,654.25x = 742,772.25 × 742,772.25
  4. Step 4: Simplify right side
    356,654.25x = 551,710,615,370.06
  5. Step 5: Solve for x
    x = 551,710,615,370.06/356,654.25
  6. Step 6: Final answer
    x = 1,546,906.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.