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Finding the Third Proportional to 456,589.13 and 709,745.63

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Solution

The third proportional to 456,589.13 and 709,745.63 is: 1,103,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,589.13 : 709,745.63 = 709,745.63 : x
  2. Step 2: Convert to fraction form
    456,589.13/709,745.63 = 709,745.63/x
  3. Step 3: Cross multiply
    456,589.13x = 709,745.63 × 709,745.63
  4. Step 4: Simplify right side
    456,589.13x = 503,738,852,206.64
  5. Step 5: Solve for x
    x = 503,738,852,206.64/456,589.13
  6. Step 6: Final answer
    x = 1,103,265.11

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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.