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Finding the Third Proportional to 453,466 and 677,829.50

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Solution

The third proportional to 453,466 and 677,829.50 is: 1,013,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,466 : 677,829.50 = 677,829.50 : x
  2. Step 2: Convert to fraction form
    453,466/677,829.50 = 677,829.50/x
  3. Step 3: Cross multiply
    453,466x = 677,829.50 × 677,829.50
  4. Step 4: Simplify right side
    453,466x = 459,452,831,070.25
  5. Step 5: Solve for x
    x = 459,452,831,070.25/453,466
  6. Step 6: Final answer
    x = 1,013,202.38

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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.