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Finding the Third Proportional to 360,116 and 833,708

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Solution

The third proportional to 360,116 and 833,708 is: 1,930,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,116 : 833,708 = 833,708 : x
  2. Step 2: Convert to fraction form
    360,116/833,708 = 833,708/x
  3. Step 3: Cross multiply
    360,116x = 833,708 × 833,708
  4. Step 4: Simplify right side
    360,116x = 695,069,029,264
  5. Step 5: Solve for x
    x = 695,069,029,264/360,116
  6. Step 6: Final answer
    x = 1,930,125.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.