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Finding the Third Proportional to 180,045 and 390,627

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Solution

The third proportional to 180,045 and 390,627 is: 847,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,045 : 390,627 = 390,627 : x
  2. Step 2: Convert to fraction form
    180,045/390,627 = 390,627/x
  3. Step 3: Cross multiply
    180,045x = 390,627 × 390,627
  4. Step 4: Simplify right side
    180,045x = 152,589,453,129
  5. Step 5: Solve for x
    x = 152,589,453,129/180,045
  6. Step 6: Final answer
    x = 847,507.31

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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.