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Finding the Third Proportional to 356,038.88 and 767,751.75

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Solution

The third proportional to 356,038.88 and 767,751.75 is: 1,655,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,038.88 : 767,751.75 = 767,751.75 : x
  2. Step 2: Convert to fraction form
    356,038.88/767,751.75 = 767,751.75/x
  3. Step 3: Cross multiply
    356,038.88x = 767,751.75 × 767,751.75
  4. Step 4: Simplify right side
    356,038.88x = 589,442,749,628.06
  5. Step 5: Solve for x
    x = 589,442,749,628.06/356,038.88
  6. Step 6: Final answer
    x = 1,655,557.27

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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.