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Finding the Third Proportional to 683,296 and 973,376

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Solution

The third proportional to 683,296 and 973,376 is: 1,386,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,296 : 973,376 = 973,376 : x
  2. Step 2: Convert to fraction form
    683,296/973,376 = 973,376/x
  3. Step 3: Cross multiply
    683,296x = 973,376 × 973,376
  4. Step 4: Simplify right side
    683,296x = 947,460,837,376
  5. Step 5: Solve for x
    x = 947,460,837,376/683,296
  6. Step 6: Final answer
    x = 1,386,603.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.