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Finding the Third Proportional to 380,300 and 584,597

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Solution

The third proportional to 380,300 and 584,597 is: 898,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,300 : 584,597 = 584,597 : x
  2. Step 2: Convert to fraction form
    380,300/584,597 = 584,597/x
  3. Step 3: Cross multiply
    380,300x = 584,597 × 584,597
  4. Step 4: Simplify right side
    380,300x = 341,753,652,409
  5. Step 5: Solve for x
    x = 341,753,652,409/380,300
  6. Step 6: Final answer
    x = 898,642.26

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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.