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Finding the Third Proportional to 342,888 and 742,152

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Solution

The third proportional to 342,888 and 742,152 is: 1,606,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,888 : 742,152 = 742,152 : x
  2. Step 2: Convert to fraction form
    342,888/742,152 = 742,152/x
  3. Step 3: Cross multiply
    342,888x = 742,152 × 742,152
  4. Step 4: Simplify right side
    342,888x = 550,789,591,104
  5. Step 5: Solve for x
    x = 550,789,591,104/342,888
  6. Step 6: Final answer
    x = 1,606,325.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.