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Finding the Third Proportional to 280,196 and 599,752

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Solution

The third proportional to 280,196 and 599,752 is: 1,283,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,196 : 599,752 = 599,752 : x
  2. Step 2: Convert to fraction form
    280,196/599,752 = 599,752/x
  3. Step 3: Cross multiply
    280,196x = 599,752 × 599,752
  4. Step 4: Simplify right side
    280,196x = 359,702,461,504
  5. Step 5: Solve for x
    x = 359,702,461,504/280,196
  6. Step 6: Final answer
    x = 1,283,753.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.