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Finding the Third Proportional to 280,304 and 630,776

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Solution

The third proportional to 280,304 and 630,776 is: 1,419,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,304 : 630,776 = 630,776 : x
  2. Step 2: Convert to fraction form
    280,304/630,776 = 630,776/x
  3. Step 3: Cross multiply
    280,304x = 630,776 × 630,776
  4. Step 4: Simplify right side
    280,304x = 397,878,362,176
  5. Step 5: Solve for x
    x = 397,878,362,176/280,304
  6. Step 6: Final answer
    x = 1,419,453.03

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.