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Finding the Third Proportional to 261,241.50 and 390,849.75

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Solution

The third proportional to 261,241.50 and 390,849.75 is: 584,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,241.50 : 390,849.75 = 390,849.75 : x
  2. Step 2: Convert to fraction form
    261,241.50/390,849.75 = 390,849.75/x
  3. Step 3: Cross multiply
    261,241.50x = 390,849.75 × 390,849.75
  4. Step 4: Simplify right side
    261,241.50x = 152,763,527,075.06
  5. Step 5: Solve for x
    x = 152,763,527,075.06/261,241.50
  6. Step 6: Final answer
    x = 584,759.80

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