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Finding the Third Proportional to 405,476 and 584,075

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Solution

The third proportional to 405,476 and 584,075 is: 841,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,476 : 584,075 = 584,075 : x
  2. Step 2: Convert to fraction form
    405,476/584,075 = 584,075/x
  3. Step 3: Cross multiply
    405,476x = 584,075 × 584,075
  4. Step 4: Simplify right side
    405,476x = 341,143,605,625
  5. Step 5: Solve for x
    x = 341,143,605,625/405,476
  6. Step 6: Final answer
    x = 841,341.06

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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.