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Finding the Third Proportional to 308,480 and 466,610

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Solution

The third proportional to 308,480 and 466,610 is: 705,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,480 : 466,610 = 466,610 : x
  2. Step 2: Convert to fraction form
    308,480/466,610 = 466,610/x
  3. Step 3: Cross multiply
    308,480x = 466,610 × 466,610
  4. Step 4: Simplify right side
    308,480x = 217,724,892,100
  5. Step 5: Solve for x
    x = 217,724,892,100/308,480
  6. Step 6: Final answer
    x = 705,799.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.