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Finding the Third Proportional to 294,457.50 and 453,235.50

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Solution

The third proportional to 294,457.50 and 453,235.50 is: 697,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457.50 : 453,235.50 = 453,235.50 : x
  2. Step 2: Convert to fraction form
    294,457.50/453,235.50 = 453,235.50/x
  3. Step 3: Cross multiply
    294,457.50x = 453,235.50 × 453,235.50
  4. Step 4: Simplify right side
    294,457.50x = 205,422,418,460.25
  5. Step 5: Solve for x
    x = 205,422,418,460.25/294,457.50
  6. Step 6: Final answer
    x = 697,630.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.