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Finding the Third Proportional to 452,535 and 670,974

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Solution

The third proportional to 452,535 and 670,974 is: 994,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,535 : 670,974 = 670,974 : x
  2. Step 2: Convert to fraction form
    452,535/670,974 = 670,974/x
  3. Step 3: Cross multiply
    452,535x = 670,974 × 670,974
  4. Step 4: Simplify right side
    452,535x = 450,206,108,676
  5. Step 5: Solve for x
    x = 450,206,108,676/452,535
  6. Step 6: Final answer
    x = 994,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.