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Finding the Third Proportional to 357,111 and 743,724

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Solution

The third proportional to 357,111 and 743,724 is: 1,548,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,111 : 743,724 = 743,724 : x
  2. Step 2: Convert to fraction form
    357,111/743,724 = 743,724/x
  3. Step 3: Cross multiply
    357,111x = 743,724 × 743,724
  4. Step 4: Simplify right side
    357,111x = 553,125,388,176
  5. Step 5: Solve for x
    x = 553,125,388,176/357,111
  6. Step 6: Final answer
    x = 1,548,889.25

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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.