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Finding the Third Proportional to 356,316 and 742,116

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Solution

The third proportional to 356,316 and 742,116 is: 1,545,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,316 : 742,116 = 742,116 : x
  2. Step 2: Convert to fraction form
    356,316/742,116 = 742,116/x
  3. Step 3: Cross multiply
    356,316x = 742,116 × 742,116
  4. Step 4: Simplify right side
    356,316x = 550,736,157,456
  5. Step 5: Solve for x
    x = 550,736,157,456/356,316
  6. Step 6: Final answer
    x = 1,545,639.71

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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.