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Finding the Third Proportional to 342,929 and 462,594

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Solution

The third proportional to 342,929 and 462,594 is: 624,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,929 : 462,594 = 462,594 : x
  2. Step 2: Convert to fraction form
    342,929/462,594 = 462,594/x
  3. Step 3: Cross multiply
    342,929x = 462,594 × 462,594
  4. Step 4: Simplify right side
    342,929x = 213,993,208,836
  5. Step 5: Solve for x
    x = 213,993,208,836/342,929
  6. Step 6: Final answer
    x = 624,016.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.