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Finding the Third Proportional to 452,744 and 612,684

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Solution

The third proportional to 452,744 and 612,684 is: 829,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,744 : 612,684 = 612,684 : x
  2. Step 2: Convert to fraction form
    452,744/612,684 = 612,684/x
  3. Step 3: Cross multiply
    452,744x = 612,684 × 612,684
  4. Step 4: Simplify right side
    452,744x = 375,381,683,856
  5. Step 5: Solve for x
    x = 375,381,683,856/452,744
  6. Step 6: Final answer
    x = 829,125.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.