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Finding the Third Proportional to 452,598.75 and 683,509.50

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Solution

The third proportional to 452,598.75 and 683,509.50 is: 1,032,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,598.75 : 683,509.50 = 683,509.50 : x
  2. Step 2: Convert to fraction form
    452,598.75/683,509.50 = 683,509.50/x
  3. Step 3: Cross multiply
    452,598.75x = 683,509.50 × 683,509.50
  4. Step 4: Simplify right side
    452,598.75x = 467,185,236,590.25
  5. Step 5: Solve for x
    x = 467,185,236,590.25/452,598.75
  6. Step 6: Final answer
    x = 1,032,228.30

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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.