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Finding the Third Proportional to 429,396 and 630,966

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Solution

The third proportional to 429,396 and 630,966 is: 927,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,396 : 630,966 = 630,966 : x
  2. Step 2: Convert to fraction form
    429,396/630,966 = 630,966/x
  3. Step 3: Cross multiply
    429,396x = 630,966 × 630,966
  4. Step 4: Simplify right side
    429,396x = 398,118,093,156
  5. Step 5: Solve for x
    x = 398,118,093,156/429,396
  6. Step 6: Final answer
    x = 927,158.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.