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Finding the Third Proportional to 286,080 and 620,352

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Solution

The third proportional to 286,080 and 620,352 is: 1,345,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,080 : 620,352 = 620,352 : x
  2. Step 2: Convert to fraction form
    286,080/620,352 = 620,352/x
  3. Step 3: Cross multiply
    286,080x = 620,352 × 620,352
  4. Step 4: Simplify right side
    286,080x = 384,836,603,904
  5. Step 5: Solve for x
    x = 384,836,603,904/286,080
  6. Step 6: Final answer
    x = 1,345,206.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.