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Finding the Third Proportional to 463,890 and 716,787

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Solution

The third proportional to 463,890 and 716,787 is: 1,107,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,890 : 716,787 = 716,787 : x
  2. Step 2: Convert to fraction form
    463,890/716,787 = 716,787/x
  3. Step 3: Cross multiply
    463,890x = 716,787 × 716,787
  4. Step 4: Simplify right side
    463,890x = 513,783,603,369
  5. Step 5: Solve for x
    x = 513,783,603,369/463,890
  6. Step 6: Final answer
    x = 1,107,554.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.