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Finding the Third Proportional to 333,155 and 490,984

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Solution

The third proportional to 333,155 and 490,984 is: 723,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,155 : 490,984 = 490,984 : x
  2. Step 2: Convert to fraction form
    333,155/490,984 = 490,984/x
  3. Step 3: Cross multiply
    333,155x = 490,984 × 490,984
  4. Step 4: Simplify right side
    333,155x = 241,065,288,256
  5. Step 5: Solve for x
    x = 241,065,288,256/333,155
  6. Step 6: Final answer
    x = 723,582.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.