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Finding the Third Proportional to 459,294 and 670,793

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Solution

The third proportional to 459,294 and 670,793 is: 979,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,294 : 670,793 = 670,793 : x
  2. Step 2: Convert to fraction form
    459,294/670,793 = 670,793/x
  3. Step 3: Cross multiply
    459,294x = 670,793 × 670,793
  4. Step 4: Simplify right side
    459,294x = 449,963,248,849
  5. Step 5: Solve for x
    x = 449,963,248,849/459,294
  6. Step 6: Final answer
    x = 979,684.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.