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Finding the Third Proportional to 180,724 and 392,607

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Solution

The third proportional to 180,724 and 392,607 is: 852,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,724 : 392,607 = 392,607 : x
  2. Step 2: Convert to fraction form
    180,724/392,607 = 392,607/x
  3. Step 3: Cross multiply
    180,724x = 392,607 × 392,607
  4. Step 4: Simplify right side
    180,724x = 154,140,256,449
  5. Step 5: Solve for x
    x = 154,140,256,449/180,724
  6. Step 6: Final answer
    x = 852,904.19

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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.