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Finding the Third Proportional to 127,490 and 287,045

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Solution

The third proportional to 127,490 and 287,045 is: 646,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,490 : 287,045 = 287,045 : x
  2. Step 2: Convert to fraction form
    127,490/287,045 = 287,045/x
  3. Step 3: Cross multiply
    127,490x = 287,045 × 287,045
  4. Step 4: Simplify right side
    127,490x = 82,394,832,025
  5. Step 5: Solve for x
    x = 82,394,832,025/127,490
  6. Step 6: Final answer
    x = 646,284.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.