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Finding the Third Proportional to 265,375 and 390,232

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Solution

The third proportional to 265,375 and 390,232 is: 573,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,375 : 390,232 = 390,232 : x
  2. Step 2: Convert to fraction form
    265,375/390,232 = 390,232/x
  3. Step 3: Cross multiply
    265,375x = 390,232 × 390,232
  4. Step 4: Simplify right side
    265,375x = 152,281,013,824
  5. Step 5: Solve for x
    x = 152,281,013,824/265,375
  6. Step 6: Final answer
    x = 573,833.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.