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Finding the Third Proportional to 316,202 and 746,410

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Solution

The third proportional to 316,202 and 746,410 is: 1,761,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,202 : 746,410 = 746,410 : x
  2. Step 2: Convert to fraction form
    316,202/746,410 = 746,410/x
  3. Step 3: Cross multiply
    316,202x = 746,410 × 746,410
  4. Step 4: Simplify right side
    316,202x = 557,127,888,100
  5. Step 5: Solve for x
    x = 557,127,888,100/316,202
  6. Step 6: Final answer
    x = 1,761,936.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.