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Finding the Third Proportional to 357,041.25 and 743,674.50

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Solution

The third proportional to 357,041.25 and 743,674.50 is: 1,548,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041.25 : 743,674.50 = 743,674.50 : x
  2. Step 2: Convert to fraction form
    357,041.25/743,674.50 = 743,674.50/x
  3. Step 3: Cross multiply
    357,041.25x = 743,674.50 × 743,674.50
  4. Step 4: Simplify right side
    357,041.25x = 553,051,761,950.25
  5. Step 5: Solve for x
    x = 553,051,761,950.25/357,041.25
  6. Step 6: Final answer
    x = 1,548,985.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.