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Finding the Third Proportional to 342,675.75 and 742,555.50

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Solution

The third proportional to 342,675.75 and 742,555.50 is: 1,609,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675.75 : 742,555.50 = 742,555.50 : x
  2. Step 2: Convert to fraction form
    342,675.75/742,555.50 = 742,555.50/x
  3. Step 3: Cross multiply
    342,675.75x = 742,555.50 × 742,555.50
  4. Step 4: Simplify right side
    342,675.75x = 551,388,670,580.25
  5. Step 5: Solve for x
    x = 551,388,670,580.25/342,675.75
  6. Step 6: Final answer
    x = 1,609,068.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.