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Finding the Third Proportional to 305,339 and 645,124

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Solution

The third proportional to 305,339 and 645,124 is: 1,363,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,339 : 645,124 = 645,124 : x
  2. Step 2: Convert to fraction form
    305,339/645,124 = 645,124/x
  3. Step 3: Cross multiply
    305,339x = 645,124 × 645,124
  4. Step 4: Simplify right side
    305,339x = 416,184,975,376
  5. Step 5: Solve for x
    x = 416,184,975,376/305,339
  6. Step 6: Final answer
    x = 1,363,025.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.