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Finding the Third Proportional to 429,390 and 630,951

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Solution

The third proportional to 429,390 and 630,951 is: 927,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,390 : 630,951 = 630,951 : x
  2. Step 2: Convert to fraction form
    429,390/630,951 = 630,951/x
  3. Step 3: Cross multiply
    429,390x = 630,951 × 630,951
  4. Step 4: Simplify right side
    429,390x = 398,099,164,401
  5. Step 5: Solve for x
    x = 398,099,164,401/429,390
  6. Step 6: Final answer
    x = 927,127.24

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