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Finding the Third Proportional to 291,300.75 and 623,101.50

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Solution

The third proportional to 291,300.75 and 623,101.50 is: 1,332,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,300.75 : 623,101.50 = 623,101.50 : x
  2. Step 2: Convert to fraction form
    291,300.75/623,101.50 = 623,101.50/x
  3. Step 3: Cross multiply
    291,300.75x = 623,101.50 × 623,101.50
  4. Step 4: Simplify right side
    291,300.75x = 388,255,479,302.25
  5. Step 5: Solve for x
    x = 388,255,479,302.25/291,300.75
  6. Step 6: Final answer
    x = 1,332,833.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.