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Finding the Third Proportional to 357,462 and 739,703

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Solution

The third proportional to 357,462 and 739,703 is: 1,530,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,462 : 739,703 = 739,703 : x
  2. Step 2: Convert to fraction form
    357,462/739,703 = 739,703/x
  3. Step 3: Cross multiply
    357,462x = 739,703 × 739,703
  4. Step 4: Simplify right side
    357,462x = 547,160,528,209
  5. Step 5: Solve for x
    x = 547,160,528,209/357,462
  6. Step 6: Final answer
    x = 1,530,681.66

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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.