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Finding the Third Proportional to 320,297 and 680,101.50

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Solution

The third proportional to 320,297 and 680,101.50 is: 1,444,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,297 : 680,101.50 = 680,101.50 : x
  2. Step 2: Convert to fraction form
    320,297/680,101.50 = 680,101.50/x
  3. Step 3: Cross multiply
    320,297x = 680,101.50 × 680,101.50
  4. Step 4: Simplify right side
    320,297x = 462,538,050,302.25
  5. Step 5: Solve for x
    x = 462,538,050,302.25/320,297
  6. Step 6: Final answer
    x = 1,444,091.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.