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Finding the Third Proportional to 262,075.50 and 392,708.25

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Solution

The third proportional to 262,075.50 and 392,708.25 is: 588,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,075.50 : 392,708.25 = 392,708.25 : x
  2. Step 2: Convert to fraction form
    262,075.50/392,708.25 = 392,708.25/x
  3. Step 3: Cross multiply
    262,075.50x = 392,708.25 × 392,708.25
  4. Step 4: Simplify right side
    262,075.50x = 154,219,769,618.06
  5. Step 5: Solve for x
    x = 154,219,769,618.06/262,075.50
  6. Step 6: Final answer
    x = 588,455.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.