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Finding the Third Proportional to 357,457.50 and 744,318

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Solution

The third proportional to 357,457.50 and 744,318 is: 1,549,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,457.50 : 744,318 = 744,318 : x
  2. Step 2: Convert to fraction form
    357,457.50/744,318 = 744,318/x
  3. Step 3: Cross multiply
    357,457.50x = 744,318 × 744,318
  4. Step 4: Simplify right side
    357,457.50x = 554,009,285,124
  5. Step 5: Solve for x
    x = 554,009,285,124/357,457.50
  6. Step 6: Final answer
    x = 1,549,860.57

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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.