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Finding the Third Proportional to 280,588 and 596,220

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Solution

The third proportional to 280,588 and 596,220 is: 1,266,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,588 : 596,220 = 596,220 : x
  2. Step 2: Convert to fraction form
    280,588/596,220 = 596,220/x
  3. Step 3: Cross multiply
    280,588x = 596,220 × 596,220
  4. Step 4: Simplify right side
    280,588x = 355,478,288,400
  5. Step 5: Solve for x
    x = 355,478,288,400/280,588
  6. Step 6: Final answer
    x = 1,266,904.82

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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.