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Finding the Third Proportional to 734,998 and 997,494

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Solution

The third proportional to 734,998 and 997,494 is: 1,353,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,998 : 997,494 = 997,494 : x
  2. Step 2: Convert to fraction form
    734,998/997,494 = 997,494/x
  3. Step 3: Cross multiply
    734,998x = 997,494 × 997,494
  4. Step 4: Simplify right side
    734,998x = 994,994,280,036
  5. Step 5: Solve for x
    x = 994,994,280,036/734,998
  6. Step 6: Final answer
    x = 1,353,737.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.