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Finding the Third Proportional to 450,294 and 684,725

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Solution

The third proportional to 450,294 and 684,725 is: 1,041,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,294 : 684,725 = 684,725 : x
  2. Step 2: Convert to fraction form
    450,294/684,725 = 684,725/x
  3. Step 3: Cross multiply
    450,294x = 684,725 × 684,725
  4. Step 4: Simplify right side
    450,294x = 468,848,325,625
  5. Step 5: Solve for x
    x = 468,848,325,625/450,294
  6. Step 6: Final answer
    x = 1,041,204.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.