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Finding the Third Proportional to 364,075 and 569,890

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Solution

The third proportional to 364,075 and 569,890 is: 892,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,075 : 569,890 = 569,890 : x
  2. Step 2: Convert to fraction form
    364,075/569,890 = 569,890/x
  3. Step 3: Cross multiply
    364,075x = 569,890 × 569,890
  4. Step 4: Simplify right side
    364,075x = 324,774,612,100
  5. Step 5: Solve for x
    x = 324,774,612,100/364,075
  6. Step 6: Final answer
    x = 892,054.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.