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Finding the Third Proportional to 280,152 and 599,664

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Solution

The third proportional to 280,152 and 599,664 is: 1,283,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152 : 599,664 = 599,664 : x
  2. Step 2: Convert to fraction form
    280,152/599,664 = 599,664/x
  3. Step 3: Cross multiply
    280,152x = 599,664 × 599,664
  4. Step 4: Simplify right side
    280,152x = 359,596,912,896
  5. Step 5: Solve for x
    x = 359,596,912,896/280,152
  6. Step 6: Final answer
    x = 1,283,577.89

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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.