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Finding the Third Proportional to 174,473 and 377,929

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Solution

The third proportional to 174,473 and 377,929 is: 818,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,473 : 377,929 = 377,929 : x
  2. Step 2: Convert to fraction form
    174,473/377,929 = 377,929/x
  3. Step 3: Cross multiply
    174,473x = 377,929 × 377,929
  4. Step 4: Simplify right side
    174,473x = 142,830,329,041
  5. Step 5: Solve for x
    x = 142,830,329,041/174,473
  6. Step 6: Final answer
    x = 818,638.58

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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.