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Finding the Third Proportional to 347,566.50 and 510,075

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Solution

The third proportional to 347,566.50 and 510,075 is: 748,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,566.50 : 510,075 = 510,075 : x
  2. Step 2: Convert to fraction form
    347,566.50/510,075 = 510,075/x
  3. Step 3: Cross multiply
    347,566.50x = 510,075 × 510,075
  4. Step 4: Simplify right side
    347,566.50x = 260,176,505,625
  5. Step 5: Solve for x
    x = 260,176,505,625/347,566.50
  6. Step 6: Final answer
    x = 748,566.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.