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Finding the Third Proportional to 341,293.50 and 742,783.50

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Solution

The third proportional to 341,293.50 and 742,783.50 is: 1,616,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,293.50 : 742,783.50 = 742,783.50 : x
  2. Step 2: Convert to fraction form
    341,293.50/742,783.50 = 742,783.50/x
  3. Step 3: Cross multiply
    341,293.50x = 742,783.50 × 742,783.50
  4. Step 4: Simplify right side
    341,293.50x = 551,727,327,872.25
  5. Step 5: Solve for x
    x = 551,727,327,872.25/341,293.50
  6. Step 6: Final answer
    x = 1,616,577.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.