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Finding the Third Proportional to 429,144 and 630,577.50

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Solution

The third proportional to 429,144 and 630,577.50 is: 926,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,144 : 630,577.50 = 630,577.50 : x
  2. Step 2: Convert to fraction form
    429,144/630,577.50 = 630,577.50/x
  3. Step 3: Cross multiply
    429,144x = 630,577.50 × 630,577.50
  4. Step 4: Simplify right side
    429,144x = 397,627,983,506.25
  5. Step 5: Solve for x
    x = 397,627,983,506.25/429,144
  6. Step 6: Final answer
    x = 926,560.74

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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.