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Finding the Third Proportional to 286,037.50 and 627,023

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Solution

The third proportional to 286,037.50 and 627,023 is: 1,374,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037.50 : 627,023 = 627,023 : x
  2. Step 2: Convert to fraction form
    286,037.50/627,023 = 627,023/x
  3. Step 3: Cross multiply
    286,037.50x = 627,023 × 627,023
  4. Step 4: Simplify right side
    286,037.50x = 393,157,842,529
  5. Step 5: Solve for x
    x = 393,157,842,529/286,037.50
  6. Step 6: Final answer
    x = 1,374,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.