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Finding the Third Proportional to 294,769.50 and 631,597.50

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Solution

The third proportional to 294,769.50 and 631,597.50 is: 1,353,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,769.50 : 631,597.50 = 631,597.50 : x
  2. Step 2: Convert to fraction form
    294,769.50/631,597.50 = 631,597.50/x
  3. Step 3: Cross multiply
    294,769.50x = 631,597.50 × 631,597.50
  4. Step 4: Simplify right side
    294,769.50x = 398,915,402,006.25
  5. Step 5: Solve for x
    x = 398,915,402,006.25/294,769.50
  6. Step 6: Final answer
    x = 1,353,313.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.