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Finding the Third Proportional to 315,784 and 678,416

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Solution

The third proportional to 315,784 and 678,416 is: 1,457,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,784 : 678,416 = 678,416 : x
  2. Step 2: Convert to fraction form
    315,784/678,416 = 678,416/x
  3. Step 3: Cross multiply
    315,784x = 678,416 × 678,416
  4. Step 4: Simplify right side
    315,784x = 460,248,269,056
  5. Step 5: Solve for x
    x = 460,248,269,056/315,784
  6. Step 6: Final answer
    x = 1,457,478.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.