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Finding the Third Proportional to 357,852.94 and 766,221.19

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Solution

The third proportional to 357,852.94 and 766,221.19 is: 1,640,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,852.94 : 766,221.19 = 766,221.19 : x
  2. Step 2: Convert to fraction form
    357,852.94/766,221.19 = 766,221.19/x
  3. Step 3: Cross multiply
    357,852.94x = 766,221.19 × 766,221.19
  4. Step 4: Simplify right side
    357,852.94x = 587,094,908,173.91
  5. Step 5: Solve for x
    x = 587,094,908,173.91/357,852.94
  6. Step 6: Final answer
    x = 1,640,603.85

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Why These Related Problems?

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