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Finding the Third Proportional to 362,722.50 and 571,907.25

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Solution

The third proportional to 362,722.50 and 571,907.25 is: 901,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,722.50 : 571,907.25 = 571,907.25 : x
  2. Step 2: Convert to fraction form
    362,722.50/571,907.25 = 571,907.25/x
  3. Step 3: Cross multiply
    362,722.50x = 571,907.25 × 571,907.25
  4. Step 4: Simplify right side
    362,722.50x = 327,077,902,602.56
  5. Step 5: Solve for x
    x = 327,077,902,602.56/362,722.50
  6. Step 6: Final answer
    x = 901,730.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.