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Finding the Third Proportional to 507,642.75 and 761,571

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Solution

The third proportional to 507,642.75 and 761,571 is: 1,142,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,642.75 : 761,571 = 761,571 : x
  2. Step 2: Convert to fraction form
    507,642.75/761,571 = 761,571/x
  3. Step 3: Cross multiply
    507,642.75x = 761,571 × 761,571
  4. Step 4: Simplify right side
    507,642.75x = 579,990,388,041
  5. Step 5: Solve for x
    x = 579,990,388,041/507,642.75
  6. Step 6: Final answer
    x = 1,142,516.84

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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.