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Finding the Third Proportional to 292,576 and 392,208

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Solution

The third proportional to 292,576 and 392,208 is: 525,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,576 : 392,208 = 392,208 : x
  2. Step 2: Convert to fraction form
    292,576/392,208 = 392,208/x
  3. Step 3: Cross multiply
    292,576x = 392,208 × 392,208
  4. Step 4: Simplify right side
    292,576x = 153,827,115,264
  5. Step 5: Solve for x
    x = 153,827,115,264/292,576
  6. Step 6: Final answer
    x = 525,768.06

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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.