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Finding the Third Proportional to 429,320.25 and 630,853.31

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Solution

The third proportional to 429,320.25 and 630,853.31 is: 926,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,320.25 : 630,853.31 = 630,853.31 : x
  2. Step 2: Convert to fraction form
    429,320.25/630,853.31 = 630,853.31/x
  3. Step 3: Cross multiply
    429,320.25x = 630,853.31 × 630,853.31
  4. Step 4: Simplify right side
    429,320.25x = 397,975,901,892.22
  5. Step 5: Solve for x
    x = 397,975,901,892.22/429,320.25
  6. Step 6: Final answer
    x = 926,990.75

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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.