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Finding the Third Proportional to 286,038.50 and 627,025

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Solution

The third proportional to 286,038.50 and 627,025 is: 1,374,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038.50 : 627,025 = 627,025 : x
  2. Step 2: Convert to fraction form
    286,038.50/627,025 = 627,025/x
  3. Step 3: Cross multiply
    286,038.50x = 627,025 × 627,025
  4. Step 4: Simplify right side
    286,038.50x = 393,160,350,625
  5. Step 5: Solve for x
    x = 393,160,350,625/286,038.50
  6. Step 6: Final answer
    x = 1,374,501.51

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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.