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Finding the Third Proportional to 342,030.50 and 749,732.50

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Solution

The third proportional to 342,030.50 and 749,732.50 is: 1,643,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,030.50 : 749,732.50 = 749,732.50 : x
  2. Step 2: Convert to fraction form
    342,030.50/749,732.50 = 749,732.50/x
  3. Step 3: Cross multiply
    342,030.50x = 749,732.50 × 749,732.50
  4. Step 4: Simplify right side
    342,030.50x = 562,098,821,556.25
  5. Step 5: Solve for x
    x = 562,098,821,556.25/342,030.50
  6. Step 6: Final answer
    x = 1,643,417.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.