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Finding the Third Proportional to 292,576.50 and 392,208.75

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Solution

The third proportional to 292,576.50 and 392,208.75 is: 525,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,576.50 : 392,208.75 = 392,208.75 : x
  2. Step 2: Convert to fraction form
    292,576.50/392,208.75 = 392,208.75/x
  3. Step 3: Cross multiply
    292,576.50x = 392,208.75 × 392,208.75
  4. Step 4: Simplify right side
    292,576.50x = 153,827,703,576.56
  5. Step 5: Solve for x
    x = 153,827,703,576.56/292,576.50
  6. Step 6: Final answer
    x = 525,769.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.