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Finding the Third Proportional to 366,008 and 584,409

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Solution

The third proportional to 366,008 and 584,409 is: 933,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,008 : 584,409 = 584,409 : x
  2. Step 2: Convert to fraction form
    366,008/584,409 = 584,409/x
  3. Step 3: Cross multiply
    366,008x = 584,409 × 584,409
  4. Step 4: Simplify right side
    366,008x = 341,533,879,281
  5. Step 5: Solve for x
    x = 341,533,879,281/366,008
  6. Step 6: Final answer
    x = 933,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.