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Finding the Third Proportional to 355,019.63 and 770,229

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Solution

The third proportional to 355,019.63 and 770,229 is: 1,671,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,019.63 : 770,229 = 770,229 : x
  2. Step 2: Convert to fraction form
    355,019.63/770,229 = 770,229/x
  3. Step 3: Cross multiply
    355,019.63x = 770,229 × 770,229
  4. Step 4: Simplify right side
    355,019.63x = 593,252,712,441
  5. Step 5: Solve for x
    x = 593,252,712,441/355,019.63
  6. Step 6: Final answer
    x = 1,671,042.02

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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.