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Finding the Third Proportional to 459,151.03 and 723,940.03

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Solution

The third proportional to 459,151.03 and 723,940.03 is: 1,141,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,151.03 : 723,940.03 = 723,940.03 : x
  2. Step 2: Convert to fraction form
    459,151.03/723,940.03 = 723,940.03/x
  3. Step 3: Cross multiply
    459,151.03x = 723,940.03 × 723,940.03
  4. Step 4: Simplify right side
    459,151.03x = 524,089,168,846.25
  5. Step 5: Solve for x
    x = 524,089,168,846.25/459,151.03
  6. Step 6: Final answer
    x = 1,141,430.89

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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.