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Finding the Third Proportional to 280,592 and 596,228

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Solution

The third proportional to 280,592 and 596,228 is: 1,266,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592 : 596,228 = 596,228 : x
  2. Step 2: Convert to fraction form
    280,592/596,228 = 596,228/x
  3. Step 3: Cross multiply
    280,592x = 596,228 × 596,228
  4. Step 4: Simplify right side
    280,592x = 355,487,827,984
  5. Step 5: Solve for x
    x = 355,487,827,984/280,592
  6. Step 6: Final answer
    x = 1,266,920.75

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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.