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Finding the Third Proportional to 405,351 and 583,875

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Solution

The third proportional to 405,351 and 583,875 is: 841,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,351 : 583,875 = 583,875 : x
  2. Step 2: Convert to fraction form
    405,351/583,875 = 583,875/x
  3. Step 3: Cross multiply
    405,351x = 583,875 × 583,875
  4. Step 4: Simplify right side
    405,351x = 340,910,015,625
  5. Step 5: Solve for x
    x = 340,910,015,625/405,351
  6. Step 6: Final answer
    x = 841,024.24

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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.