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Finding the Third Proportional to 286,851 and 630,321

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Solution

The third proportional to 286,851 and 630,321 is: 1,385,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,851 : 630,321 = 630,321 : x
  2. Step 2: Convert to fraction form
    286,851/630,321 = 630,321/x
  3. Step 3: Cross multiply
    286,851x = 630,321 × 630,321
  4. Step 4: Simplify right side
    286,851x = 397,304,563,041
  5. Step 5: Solve for x
    x = 397,304,563,041/286,851
  6. Step 6: Final answer
    x = 1,385,055.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.