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Finding the Third Proportional to 357,464 and 739,707

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Solution

The third proportional to 357,464 and 739,707 is: 1,530,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,464 : 739,707 = 739,707 : x
  2. Step 2: Convert to fraction form
    357,464/739,707 = 739,707/x
  3. Step 3: Cross multiply
    357,464x = 739,707 × 739,707
  4. Step 4: Simplify right side
    357,464x = 547,166,445,849
  5. Step 5: Solve for x
    x = 547,166,445,849/357,464
  6. Step 6: Final answer
    x = 1,530,689.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.