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Finding the Third Proportional to 264,902.63 and 405,130.50

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Solution

The third proportional to 264,902.63 and 405,130.50 is: 619,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.63 : 405,130.50 = 405,130.50 : x
  2. Step 2: Convert to fraction form
    264,902.63/405,130.50 = 405,130.50/x
  3. Step 3: Cross multiply
    264,902.63x = 405,130.50 × 405,130.50
  4. Step 4: Simplify right side
    264,902.63x = 164,130,722,030.25
  5. Step 5: Solve for x
    x = 164,130,722,030.25/264,902.63
  6. Step 6: Final answer
    x = 619,588.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.