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Finding the Third Proportional to 365,643 and 798,354

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Solution

The third proportional to 365,643 and 798,354 is: 1,743,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,643 : 798,354 = 798,354 : x
  2. Step 2: Convert to fraction form
    365,643/798,354 = 798,354/x
  3. Step 3: Cross multiply
    365,643x = 798,354 × 798,354
  4. Step 4: Simplify right side
    365,643x = 637,369,109,316
  5. Step 5: Solve for x
    x = 637,369,109,316/365,643
  6. Step 6: Final answer
    x = 1,743,145.94

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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.