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Finding the Third Proportional to 426,032 and 668,304

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Solution

The third proportional to 426,032 and 668,304 is: 1,048,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,032 : 668,304 = 668,304 : x
  2. Step 2: Convert to fraction form
    426,032/668,304 = 668,304/x
  3. Step 3: Cross multiply
    426,032x = 668,304 × 668,304
  4. Step 4: Simplify right side
    426,032x = 446,630,236,416
  5. Step 5: Solve for x
    x = 446,630,236,416/426,032
  6. Step 6: Final answer
    x = 1,048,349.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.