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Finding the Third Proportional to 356,133 and 725,452.50

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Solution

The third proportional to 356,133 and 725,452.50 is: 1,477,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,133 : 725,452.50 = 725,452.50 : x
  2. Step 2: Convert to fraction form
    356,133/725,452.50 = 725,452.50/x
  3. Step 3: Cross multiply
    356,133x = 725,452.50 × 725,452.50
  4. Step 4: Simplify right side
    356,133x = 526,281,329,756.25
  5. Step 5: Solve for x
    x = 526,281,329,756.25/356,133
  6. Step 6: Final answer
    x = 1,477,766.26

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.