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Finding the Third Proportional to 357,077 and 743,746

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Solution

The third proportional to 357,077 and 743,746 is: 1,549,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,077 : 743,746 = 743,746 : x
  2. Step 2: Convert to fraction form
    357,077/743,746 = 743,746/x
  3. Step 3: Cross multiply
    357,077x = 743,746 × 743,746
  4. Step 4: Simplify right side
    357,077x = 553,158,112,516
  5. Step 5: Solve for x
    x = 553,158,112,516/357,077
  6. Step 6: Final answer
    x = 1,549,128.37

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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.