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Finding the Third Proportional to 281,358 and 650,784

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Solution

The third proportional to 281,358 and 650,784 is: 1,505,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,358 : 650,784 = 650,784 : x
  2. Step 2: Convert to fraction form
    281,358/650,784 = 650,784/x
  3. Step 3: Cross multiply
    281,358x = 650,784 × 650,784
  4. Step 4: Simplify right side
    281,358x = 423,519,814,656
  5. Step 5: Solve for x
    x = 423,519,814,656/281,358
  6. Step 6: Final answer
    x = 1,505,270.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.