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Finding the Third Proportional to 383,298 and 833,712

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Solution

The third proportional to 383,298 and 833,712 is: 1,813,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,298 : 833,712 = 833,712 : x
  2. Step 2: Convert to fraction form
    383,298/833,712 = 833,712/x
  3. Step 3: Cross multiply
    383,298x = 833,712 × 833,712
  4. Step 4: Simplify right side
    383,298x = 695,075,698,944
  5. Step 5: Solve for x
    x = 695,075,698,944/383,298
  6. Step 6: Final answer
    x = 1,813,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.