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Finding the Third Proportional to 404,702.50 and 584,674.50

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Solution

The third proportional to 404,702.50 and 584,674.50 is: 844,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,702.50 : 584,674.50 = 584,674.50 : x
  2. Step 2: Convert to fraction form
    404,702.50/584,674.50 = 584,674.50/x
  3. Step 3: Cross multiply
    404,702.50x = 584,674.50 × 584,674.50
  4. Step 4: Simplify right side
    404,702.50x = 341,844,270,950.25
  5. Step 5: Solve for x
    x = 341,844,270,950.25/404,702.50
  6. Step 6: Final answer
    x = 844,680.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.