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Finding the Third Proportional to 280,564 and 596,172

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Solution

The third proportional to 280,564 and 596,172 is: 1,266,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,564 : 596,172 = 596,172 : x
  2. Step 2: Convert to fraction form
    280,564/596,172 = 596,172/x
  3. Step 3: Cross multiply
    280,564x = 596,172 × 596,172
  4. Step 4: Simplify right side
    280,564x = 355,421,053,584
  5. Step 5: Solve for x
    x = 355,421,053,584/280,564
  6. Step 6: Final answer
    x = 1,266,809.19

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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.