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Finding the Third Proportional to 589,065.75 and 894,533.63

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Solution

The third proportional to 589,065.75 and 894,533.63 is: 1,358,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,065.75 : 894,533.63 = 894,533.63 : x
  2. Step 2: Convert to fraction form
    589,065.75/894,533.63 = 894,533.63/x
  3. Step 3: Cross multiply
    589,065.75x = 894,533.63 × 894,533.63
  4. Step 4: Simplify right side
    589,065.75x = 800,190,406,255.64
  5. Step 5: Solve for x
    x = 800,190,406,255.64/589,065.75
  6. Step 6: Final answer
    x = 1,358,405.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.