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Finding the Third Proportional to 410,360.08 and 655,558.95

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Solution

The third proportional to 410,360.08 and 655,558.95 is: 1,047,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,360.08 : 655,558.95 = 655,558.95 : x
  2. Step 2: Convert to fraction form
    410,360.08/655,558.95 = 655,558.95/x
  3. Step 3: Cross multiply
    410,360.08x = 655,558.95 × 655,558.95
  4. Step 4: Simplify right side
    410,360.08x = 429,757,530,779.24
  5. Step 5: Solve for x
    x = 429,757,530,779.24/410,360.08
  6. Step 6: Final answer
    x = 1,047,269.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.