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Finding the Third Proportional to 352,277.44 and 785,235.94

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Solution

The third proportional to 352,277.44 and 785,235.94 is: 1,750,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,277.44 : 785,235.94 = 785,235.94 : x
  2. Step 2: Convert to fraction form
    352,277.44/785,235.94 = 785,235.94/x
  3. Step 3: Cross multiply
    352,277.44x = 785,235.94 × 785,235.94
  4. Step 4: Simplify right side
    352,277.44x = 616,595,477,541.50
  5. Step 5: Solve for x
    x = 616,595,477,541.50/352,277.44
  6. Step 6: Final answer
    x = 1,750,312.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.