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Finding the Third Proportional to 295,457.50 and 485,410.50

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Solution

The third proportional to 295,457.50 and 485,410.50 is: 797,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,457.50 : 485,410.50 = 485,410.50 : x
  2. Step 2: Convert to fraction form
    295,457.50/485,410.50 = 485,410.50/x
  3. Step 3: Cross multiply
    295,457.50x = 485,410.50 × 485,410.50
  4. Step 4: Simplify right side
    295,457.50x = 235,623,353,510.25
  5. Step 5: Solve for x
    x = 235,623,353,510.25/295,457.50
  6. Step 6: Final answer
    x = 797,486.45

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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.