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Finding the Third Proportional to 407,271 and 535,563.75

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Solution

The third proportional to 407,271 and 535,563.75 is: 704,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,271 : 535,563.75 = 535,563.75 : x
  2. Step 2: Convert to fraction form
    407,271/535,563.75 = 535,563.75/x
  3. Step 3: Cross multiply
    407,271x = 535,563.75 × 535,563.75
  4. Step 4: Simplify right side
    407,271x = 286,828,530,314.06
  5. Step 5: Solve for x
    x = 286,828,530,314.06/407,271
  6. Step 6: Final answer
    x = 704,269.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.