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Finding the Third Proportional to 458,803 and 674,816.50

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Solution

The third proportional to 458,803 and 674,816.50 is: 992,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,803 : 674,816.50 = 674,816.50 : x
  2. Step 2: Convert to fraction form
    458,803/674,816.50 = 674,816.50/x
  3. Step 3: Cross multiply
    458,803x = 674,816.50 × 674,816.50
  4. Step 4: Simplify right side
    458,803x = 455,377,308,672.25
  5. Step 5: Solve for x
    x = 455,377,308,672.25/458,803
  6. Step 6: Final answer
    x = 992,533.42

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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.