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Finding the Third Proportional to 464,483.25 and 654,077.25

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Solution

The third proportional to 464,483.25 and 654,077.25 is: 921,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,483.25 : 654,077.25 = 654,077.25 : x
  2. Step 2: Convert to fraction form
    464,483.25/654,077.25 = 654,077.25/x
  3. Step 3: Cross multiply
    464,483.25x = 654,077.25 × 654,077.25
  4. Step 4: Simplify right side
    464,483.25x = 427,817,048,967.56
  5. Step 5: Solve for x
    x = 427,817,048,967.56/464,483.25
  6. Step 6: Final answer
    x = 921,060.23

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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.