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Finding the Third Proportional to 464,405.06 and 653,984.09

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Solution

The third proportional to 464,405.06 and 653,984.09 is: 920,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,405.06 : 653,984.09 = 653,984.09 : x
  2. Step 2: Convert to fraction form
    464,405.06/653,984.09 = 653,984.09/x
  3. Step 3: Cross multiply
    464,405.06x = 653,984.09 × 653,984.09
  4. Step 4: Simplify right side
    464,405.06x = 427,695,184,659.51
  5. Step 5: Solve for x
    x = 427,695,184,659.51/464,405.06
  6. Step 6: Final answer
    x = 920,952.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.