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Finding the Third Proportional to 499,352.16 and 1,078,511.25

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Solution

The third proportional to 499,352.16 and 1,078,511.25 is: 2,329,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,352.16 : 1,078,511.25 = 1,078,511.25 : x
  2. Step 2: Convert to fraction form
    499,352.16/1,078,511.25 = 1,078,511.25/x
  3. Step 3: Cross multiply
    499,352.16x = 1,078,511.25 × 1,078,511.25
  4. Step 4: Simplify right side
    499,352.16x = 1,163,186,516,376.56
  5. Step 5: Solve for x
    x = 1,163,186,516,376.56/499,352.16
  6. Step 6: Final answer
    x = 2,329,391.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.