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Finding the Third Proportional to 429,132.50 and 630,561.50

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Solution

The third proportional to 429,132.50 and 630,561.50 is: 926,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,132.50 : 630,561.50 = 630,561.50 : x
  2. Step 2: Convert to fraction form
    429,132.50/630,561.50 = 630,561.50/x
  3. Step 3: Cross multiply
    429,132.50x = 630,561.50 × 630,561.50
  4. Step 4: Simplify right side
    429,132.50x = 397,607,805,282.25
  5. Step 5: Solve for x
    x = 397,607,805,282.25/429,132.50
  6. Step 6: Final answer
    x = 926,538.55

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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.