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Finding the Third Proportional to 337,830.75 and 742,106.25

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Solution

The third proportional to 337,830.75 and 742,106.25 is: 1,630,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,830.75 : 742,106.25 = 742,106.25 : x
  2. Step 2: Convert to fraction form
    337,830.75/742,106.25 = 742,106.25/x
  3. Step 3: Cross multiply
    337,830.75x = 742,106.25 × 742,106.25
  4. Step 4: Simplify right side
    337,830.75x = 550,721,686,289.06
  5. Step 5: Solve for x
    x = 550,721,686,289.06/337,830.75
  6. Step 6: Final answer
    x = 1,630,170.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.