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Finding the Third Proportional to 291,271.50 and 623,018.25

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Solution

The third proportional to 291,271.50 and 623,018.25 is: 1,332,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,271.50 : 623,018.25 = 623,018.25 : x
  2. Step 2: Convert to fraction form
    291,271.50/623,018.25 = 623,018.25/x
  3. Step 3: Cross multiply
    291,271.50x = 623,018.25 × 623,018.25
  4. Step 4: Simplify right side
    291,271.50x = 388,151,739,833.06
  5. Step 5: Solve for x
    x = 388,151,739,833.06/291,271.50
  6. Step 6: Final answer
    x = 1,332,611.46

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