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Finding the Third Proportional to 295,457.50 and 485,411.50

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Solution

The third proportional to 295,457.50 and 485,411.50 is: 797,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,457.50 : 485,411.50 = 485,411.50 : x
  2. Step 2: Convert to fraction form
    295,457.50/485,411.50 = 485,411.50/x
  3. Step 3: Cross multiply
    295,457.50x = 485,411.50 × 485,411.50
  4. Step 4: Simplify right side
    295,457.50x = 235,624,324,332.25
  5. Step 5: Solve for x
    x = 235,624,324,332.25/295,457.50
  6. Step 6: Final answer
    x = 797,489.74

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.