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Finding the Third Proportional to 200,628 and 311,657

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Solution

The third proportional to 200,628 and 311,657 is: 484,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,628 : 311,657 = 311,657 : x
  2. Step 2: Convert to fraction form
    200,628/311,657 = 311,657/x
  3. Step 3: Cross multiply
    200,628x = 311,657 × 311,657
  4. Step 4: Simplify right side
    200,628x = 97,130,085,649
  5. Step 5: Solve for x
    x = 97,130,085,649/200,628
  6. Step 6: Final answer
    x = 484,130.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.