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Finding the Third Proportional to 180,047 and 390,631

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Solution

The third proportional to 180,047 and 390,631 is: 847,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047 : 390,631 = 390,631 : x
  2. Step 2: Convert to fraction form
    180,047/390,631 = 390,631/x
  3. Step 3: Cross multiply
    180,047x = 390,631 × 390,631
  4. Step 4: Simplify right side
    180,047x = 152,592,578,161
  5. Step 5: Solve for x
    x = 152,592,578,161/180,047
  6. Step 6: Final answer
    x = 847,515.25

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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.