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Finding the Third Proportional to 304,709 and 646,282

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Solution

The third proportional to 304,709 and 646,282 is: 1,370,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,709 : 646,282 = 646,282 : x
  2. Step 2: Convert to fraction form
    304,709/646,282 = 646,282/x
  3. Step 3: Cross multiply
    304,709x = 646,282 × 646,282
  4. Step 4: Simplify right side
    304,709x = 417,680,423,524
  5. Step 5: Solve for x
    x = 417,680,423,524/304,709
  6. Step 6: Final answer
    x = 1,370,751.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.