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Finding the Third Proportional to 295,808.44 and 423,009.56

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Solution

The third proportional to 295,808.44 and 423,009.56 is: 604,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,808.44 : 423,009.56 = 423,009.56 : x
  2. Step 2: Convert to fraction form
    295,808.44/423,009.56 = 423,009.56/x
  3. Step 3: Cross multiply
    295,808.44x = 423,009.56 × 423,009.56
  4. Step 4: Simplify right side
    295,808.44x = 178,937,089,966.44
  5. Step 5: Solve for x
    x = 178,937,089,966.44/295,808.44
  6. Step 6: Final answer
    x = 604,908.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.