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Finding the Third Proportional to 453,672 and 684,150.75

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Solution

The third proportional to 453,672 and 684,150.75 is: 1,031,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,672 : 684,150.75 = 684,150.75 : x
  2. Step 2: Convert to fraction form
    453,672/684,150.75 = 684,150.75/x
  3. Step 3: Cross multiply
    453,672x = 684,150.75 × 684,150.75
  4. Step 4: Simplify right side
    453,672x = 468,062,248,725.56
  5. Step 5: Solve for x
    x = 468,062,248,725.56/453,672
  6. Step 6: Final answer
    x = 1,031,719.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.