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Finding the Third Proportional to 280,420 and 608,160

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Solution

The third proportional to 280,420 and 608,160 is: 1,318,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,420 : 608,160 = 608,160 : x
  2. Step 2: Convert to fraction form
    280,420/608,160 = 608,160/x
  3. Step 3: Cross multiply
    280,420x = 608,160 × 608,160
  4. Step 4: Simplify right side
    280,420x = 369,858,585,600
  5. Step 5: Solve for x
    x = 369,858,585,600/280,420
  6. Step 6: Final answer
    x = 1,318,945.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.