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Finding the Third Proportional to 619,417.13 and 957,367.69

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Solution

The third proportional to 619,417.13 and 957,367.69 is: 1,479,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,417.13 : 957,367.69 = 957,367.69 : x
  2. Step 2: Convert to fraction form
    619,417.13/957,367.69 = 957,367.69/x
  3. Step 3: Cross multiply
    619,417.13x = 957,367.69 × 957,367.69
  4. Step 4: Simplify right side
    619,417.13x = 916,552,889,069.10
  5. Step 5: Solve for x
    x = 916,552,889,069.10/619,417.13
  6. Step 6: Final answer
    x = 1,479,702.21

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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.