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Finding the Third Proportional to 358,050 and 788,088

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Solution

The third proportional to 358,050 and 788,088 is: 1,734,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,050 : 788,088 = 788,088 : x
  2. Step 2: Convert to fraction form
    358,050/788,088 = 788,088/x
  3. Step 3: Cross multiply
    358,050x = 788,088 × 788,088
  4. Step 4: Simplify right side
    358,050x = 621,082,695,744
  5. Step 5: Solve for x
    x = 621,082,695,744/358,050
  6. Step 6: Final answer
    x = 1,734,625.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.