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Finding the Third Proportional to 341,605.69 and 730,513.69

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Solution

The third proportional to 341,605.69 and 730,513.69 is: 1,562,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,605.69 : 730,513.69 = 730,513.69 : x
  2. Step 2: Convert to fraction form
    341,605.69/730,513.69 = 730,513.69/x
  3. Step 3: Cross multiply
    341,605.69x = 730,513.69 × 730,513.69
  4. Step 4: Simplify right side
    341,605.69x = 533,650,247,624.85
  5. Step 5: Solve for x
    x = 533,650,247,624.85/341,605.69
  6. Step 6: Final answer
    x = 1,562,181.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.