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Finding the Third Proportional to 336,012.05 and 725,510.67

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Solution

The third proportional to 336,012.05 and 725,510.67 is: 1,566,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,012.05 : 725,510.67 = 725,510.67 : x
  2. Step 2: Convert to fraction form
    336,012.05/725,510.67 = 725,510.67/x
  3. Step 3: Cross multiply
    336,012.05x = 725,510.67 × 725,510.67
  4. Step 4: Simplify right side
    336,012.05x = 526,365,735,004.51
  5. Step 5: Solve for x
    x = 526,365,735,004.51/336,012.05
  6. Step 6: Final answer
    x = 1,566,508.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.