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Finding the Third Proportional to 329,703.75 and 706,063.50

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Solution

The third proportional to 329,703.75 and 706,063.50 is: 1,512,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,703.75 : 706,063.50 = 706,063.50 : x
  2. Step 2: Convert to fraction form
    329,703.75/706,063.50 = 706,063.50/x
  3. Step 3: Cross multiply
    329,703.75x = 706,063.50 × 706,063.50
  4. Step 4: Simplify right side
    329,703.75x = 498,525,666,032.25
  5. Step 5: Solve for x
    x = 498,525,666,032.25/329,703.75
  6. Step 6: Final answer
    x = 1,512,041.24

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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.