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Finding the Third Proportional to 429,382 and 630,942

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Solution

The third proportional to 429,382 and 630,942 is: 927,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382 : 630,942 = 630,942 : x
  2. Step 2: Convert to fraction form
    429,382/630,942 = 630,942/x
  3. Step 3: Cross multiply
    429,382x = 630,942 × 630,942
  4. Step 4: Simplify right side
    429,382x = 398,087,807,364
  5. Step 5: Solve for x
    x = 398,087,807,364/429,382
  6. Step 6: Final answer
    x = 927,118.06

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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.