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Finding the Third Proportional to 360,026 and 833,482

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Solution

The third proportional to 360,026 and 833,482 is: 1,929,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,026 : 833,482 = 833,482 : x
  2. Step 2: Convert to fraction form
    360,026/833,482 = 833,482/x
  3. Step 3: Cross multiply
    360,026x = 833,482 × 833,482
  4. Step 4: Simplify right side
    360,026x = 694,692,244,324
  5. Step 5: Solve for x
    x = 694,692,244,324/360,026
  6. Step 6: Final answer
    x = 1,929,561.32

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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.