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Finding the Third Proportional to 683,202 and 973,234.50

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Solution

The third proportional to 683,202 and 973,234.50 is: 1,386,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,202 : 973,234.50 = 973,234.50 : x
  2. Step 2: Convert to fraction form
    683,202/973,234.50 = 973,234.50/x
  3. Step 3: Cross multiply
    683,202x = 973,234.50 × 973,234.50
  4. Step 4: Simplify right side
    683,202x = 947,185,391,990.25
  5. Step 5: Solve for x
    x = 947,185,391,990.25/683,202
  6. Step 6: Final answer
    x = 1,386,391.42

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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.