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Finding the Third Proportional to 355,302 and 761,244

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Solution

The third proportional to 355,302 and 761,244 is: 1,630,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,302 : 761,244 = 761,244 : x
  2. Step 2: Convert to fraction form
    355,302/761,244 = 761,244/x
  3. Step 3: Cross multiply
    355,302x = 761,244 × 761,244
  4. Step 4: Simplify right side
    355,302x = 579,492,427,536
  5. Step 5: Solve for x
    x = 579,492,427,536/355,302
  6. Step 6: Final answer
    x = 1,630,985.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.