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Finding the Third Proportional to 333,153 and 487,283.34

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Solution

The third proportional to 333,153 and 487,283.34 is: 712,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,153 : 487,283.34 = 487,283.34 : x
  2. Step 2: Convert to fraction form
    333,153/487,283.34 = 487,283.34/x
  3. Step 3: Cross multiply
    333,153x = 487,283.34 × 487,283.34
  4. Step 4: Simplify right side
    333,153x = 237,445,057,096.18
  5. Step 5: Solve for x
    x = 237,445,057,096.18/333,153
  6. Step 6: Final answer
    x = 712,720.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.