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Finding the Third Proportional to 330,507 and 713,488.50

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Solution

The third proportional to 330,507 and 713,488.50 is: 1,540,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,507 : 713,488.50 = 713,488.50 : x
  2. Step 2: Convert to fraction form
    330,507/713,488.50 = 713,488.50/x
  3. Step 3: Cross multiply
    330,507x = 713,488.50 × 713,488.50
  4. Step 4: Simplify right side
    330,507x = 509,065,839,632.25
  5. Step 5: Solve for x
    x = 509,065,839,632.25/330,507
  6. Step 6: Final answer
    x = 1,540,257.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.