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Finding the Third Proportional to 453,445 and 677,797.50

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Solution

The third proportional to 453,445 and 677,797.50 is: 1,013,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,445 : 677,797.50 = 677,797.50 : x
  2. Step 2: Convert to fraction form
    453,445/677,797.50 = 677,797.50/x
  3. Step 3: Cross multiply
    453,445x = 677,797.50 × 677,797.50
  4. Step 4: Simplify right side
    453,445x = 459,409,451,006.25
  5. Step 5: Solve for x
    x = 459,409,451,006.25/453,445
  6. Step 6: Final answer
    x = 1,013,153.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.