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Finding the Third Proportional to 405,931.50 and 642,739.50

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Solution

The third proportional to 405,931.50 and 642,739.50 is: 1,017,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.50 : 642,739.50 = 642,739.50 : x
  2. Step 2: Convert to fraction form
    405,931.50/642,739.50 = 642,739.50/x
  3. Step 3: Cross multiply
    405,931.50x = 642,739.50 × 642,739.50
  4. Step 4: Simplify right side
    405,931.50x = 413,114,064,860.25
  5. Step 5: Solve for x
    x = 413,114,064,860.25/405,931.50
  6. Step 6: Final answer
    x = 1,017,694.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.