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Finding the Third Proportional to 208,098 and 456,702

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Solution

The third proportional to 208,098 and 456,702 is: 1,002,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098 : 456,702 = 456,702 : x
  2. Step 2: Convert to fraction form
    208,098/456,702 = 456,702/x
  3. Step 3: Cross multiply
    208,098x = 456,702 × 456,702
  4. Step 4: Simplify right side
    208,098x = 208,576,716,804
  5. Step 5: Solve for x
    x = 208,576,716,804/208,098
  6. Step 6: Final answer
    x = 1,002,300.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.