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Finding the Third Proportional to 305,587.69 and 657,968.06

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Solution

The third proportional to 305,587.69 and 657,968.06 is: 1,416,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,587.69 : 657,968.06 = 657,968.06 : x
  2. Step 2: Convert to fraction form
    305,587.69/657,968.06 = 657,968.06/x
  3. Step 3: Cross multiply
    305,587.69x = 657,968.06 × 657,968.06
  4. Step 4: Simplify right side
    305,587.69x = 432,921,971,270.00
  5. Step 5: Solve for x
    x = 432,921,971,270.00/305,587.69
  6. Step 6: Final answer
    x = 1,416,686.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.