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Finding the Third Proportional to 379,872 and 590,528

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Solution

The third proportional to 379,872 and 590,528 is: 918,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,872 : 590,528 = 590,528 : x
  2. Step 2: Convert to fraction form
    379,872/590,528 = 590,528/x
  3. Step 3: Cross multiply
    379,872x = 590,528 × 590,528
  4. Step 4: Simplify right side
    379,872x = 348,723,318,784
  5. Step 5: Solve for x
    x = 348,723,318,784/379,872
  6. Step 6: Final answer
    x = 918,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.