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Finding the Third Proportional to 459,366 and 670,905

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Solution

The third proportional to 459,366 and 670,905 is: 979,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,366 : 670,905 = 670,905 : x
  2. Step 2: Convert to fraction form
    459,366/670,905 = 670,905/x
  3. Step 3: Cross multiply
    459,366x = 670,905 × 670,905
  4. Step 4: Simplify right side
    459,366x = 450,113,519,025
  5. Step 5: Solve for x
    x = 450,113,519,025/459,366
  6. Step 6: Final answer
    x = 979,858.15

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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.