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Finding the Third Proportional to 380,301 and 584,598

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Solution

The third proportional to 380,301 and 584,598 is: 898,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,301 : 584,598 = 584,598 : x
  2. Step 2: Convert to fraction form
    380,301/584,598 = 584,598/x
  3. Step 3: Cross multiply
    380,301x = 584,598 × 584,598
  4. Step 4: Simplify right side
    380,301x = 341,754,821,604
  5. Step 5: Solve for x
    x = 341,754,821,604/380,301
  6. Step 6: Final answer
    x = 898,642.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.