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Finding the Third Proportional to 278,725 and 596,803

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Solution

The third proportional to 278,725 and 596,803 is: 1,277,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,725 : 596,803 = 596,803 : x
  2. Step 2: Convert to fraction form
    278,725/596,803 = 596,803/x
  3. Step 3: Cross multiply
    278,725x = 596,803 × 596,803
  4. Step 4: Simplify right side
    278,725x = 356,173,820,809
  5. Step 5: Solve for x
    x = 356,173,820,809/278,725
  6. Step 6: Final answer
    x = 1,277,868.22

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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.