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Finding the Third Proportional to 376,276 and 576,402

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Solution

The third proportional to 376,276 and 576,402 is: 882,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,276 : 576,402 = 576,402 : x
  2. Step 2: Convert to fraction form
    376,276/576,402 = 576,402/x
  3. Step 3: Cross multiply
    376,276x = 576,402 × 576,402
  4. Step 4: Simplify right side
    376,276x = 332,239,265,604
  5. Step 5: Solve for x
    x = 332,239,265,604/376,276
  6. Step 6: Final answer
    x = 882,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.