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Finding the Third Proportional to 291,591 and 456,432.75

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Solution

The third proportional to 291,591 and 456,432.75 is: 714,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,591 : 456,432.75 = 456,432.75 : x
  2. Step 2: Convert to fraction form
    291,591/456,432.75 = 456,432.75/x
  3. Step 3: Cross multiply
    291,591x = 456,432.75 × 456,432.75
  4. Step 4: Simplify right side
    291,591x = 208,330,855,272.56
  5. Step 5: Solve for x
    x = 208,330,855,272.56/291,591
  6. Step 6: Final answer
    x = 714,462.57

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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.