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Finding the Third Proportional to 683,212.50 and 973,251

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Solution

The third proportional to 683,212.50 and 973,251 is: 1,386,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,212.50 : 973,251 = 973,251 : x
  2. Step 2: Convert to fraction form
    683,212.50/973,251 = 973,251/x
  3. Step 3: Cross multiply
    683,212.50x = 973,251 × 973,251
  4. Step 4: Simplify right side
    683,212.50x = 947,217,509,001
  5. Step 5: Solve for x
    x = 947,217,509,001/683,212.50
  6. Step 6: Final answer
    x = 1,386,417.12

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