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Finding the Third Proportional to 250,410 and 590,528

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Solution

The third proportional to 250,410 and 590,528 is: 1,392,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,410 : 590,528 = 590,528 : x
  2. Step 2: Convert to fraction form
    250,410/590,528 = 590,528/x
  3. Step 3: Cross multiply
    250,410x = 590,528 × 590,528
  4. Step 4: Simplify right side
    250,410x = 348,723,318,784
  5. Step 5: Solve for x
    x = 348,723,318,784/250,410
  6. Step 6: Final answer
    x = 1,392,609.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.