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Finding the Third Proportional to 642,238.50 and 1,411,597.50

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Solution

The third proportional to 642,238.50 and 1,411,597.50 is: 3,102,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,238.50 : 1,411,597.50 = 1,411,597.50 : x
  2. Step 2: Convert to fraction form
    642,238.50/1,411,597.50 = 1,411,597.50/x
  3. Step 3: Cross multiply
    642,238.50x = 1,411,597.50 × 1,411,597.50
  4. Step 4: Simplify right side
    642,238.50x = 1,992,607,502,006.25
  5. Step 5: Solve for x
    x = 1,992,607,502,006.25/642,238.50
  6. Step 6: Final answer
    x = 3,102,597.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.