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Finding the Third Proportional to 435,362.25 and 672,453

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Solution

The third proportional to 435,362.25 and 672,453 is: 1,038,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,362.25 : 672,453 = 672,453 : x
  2. Step 2: Convert to fraction form
    435,362.25/672,453 = 672,453/x
  3. Step 3: Cross multiply
    435,362.25x = 672,453 × 672,453
  4. Step 4: Simplify right side
    435,362.25x = 452,193,037,209
  5. Step 5: Solve for x
    x = 452,193,037,209/435,362.25
  6. Step 6: Final answer
    x = 1,038,659.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.