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Finding the Third Proportional to 294,264 and 630,000

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Solution

The third proportional to 294,264 and 630,000 is: 1,348,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,264 : 630,000 = 630,000 : x
  2. Step 2: Convert to fraction form
    294,264/630,000 = 630,000/x
  3. Step 3: Cross multiply
    294,264x = 630,000 × 630,000
  4. Step 4: Simplify right side
    294,264x = 396,900,000,000
  5. Step 5: Solve for x
    x = 396,900,000,000/294,264
  6. Step 6: Final answer
    x = 1,348,788.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.