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Finding the Third Proportional to 319,440 and 683,202

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Solution

The third proportional to 319,440 and 683,202 is: 1,461,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,440 : 683,202 = 683,202 : x
  2. Step 2: Convert to fraction form
    319,440/683,202 = 683,202/x
  3. Step 3: Cross multiply
    319,440x = 683,202 × 683,202
  4. Step 4: Simplify right side
    319,440x = 466,764,972,804
  5. Step 5: Solve for x
    x = 466,764,972,804/319,440
  6. Step 6: Final answer
    x = 1,461,197.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.