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Finding the Third Proportional to 306,051.75 and 465,848.25

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Solution

The third proportional to 306,051.75 and 465,848.25 is: 709,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051.75 : 465,848.25 = 465,848.25 : x
  2. Step 2: Convert to fraction form
    306,051.75/465,848.25 = 465,848.25/x
  3. Step 3: Cross multiply
    306,051.75x = 465,848.25 × 465,848.25
  4. Step 4: Simplify right side
    306,051.75x = 217,014,592,028.06
  5. Step 5: Solve for x
    x = 217,014,592,028.06/306,051.75
  6. Step 6: Final answer
    x = 709,078.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.