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Finding the Third Proportional to 473,827.92 and 677,579.53

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Solution

The third proportional to 473,827.92 and 677,579.53 is: 968,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,827.92 : 677,579.53 = 677,579.53 : x
  2. Step 2: Convert to fraction form
    473,827.92/677,579.53 = 677,579.53/x
  3. Step 3: Cross multiply
    473,827.92x = 677,579.53 × 677,579.53
  4. Step 4: Simplify right side
    473,827.92x = 459,114,014,407.27
  5. Step 5: Solve for x
    x = 459,114,014,407.27/473,827.92
  6. Step 6: Final answer
    x = 968,946.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.