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Finding the Third Proportional to 368,354 and 769,432

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Solution

The third proportional to 368,354 and 769,432 is: 1,607,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,354 : 769,432 = 769,432 : x
  2. Step 2: Convert to fraction form
    368,354/769,432 = 769,432/x
  3. Step 3: Cross multiply
    368,354x = 769,432 × 769,432
  4. Step 4: Simplify right side
    368,354x = 592,025,602,624
  5. Step 5: Solve for x
    x = 592,025,602,624/368,354
  6. Step 6: Final answer
    x = 1,607,219.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.