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Finding the Third Proportional to 252,094 and 390,536

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Solution

The third proportional to 252,094 and 390,536 is: 605,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,094 : 390,536 = 390,536 : x
  2. Step 2: Convert to fraction form
    252,094/390,536 = 390,536/x
  3. Step 3: Cross multiply
    252,094x = 390,536 × 390,536
  4. Step 4: Simplify right side
    252,094x = 152,518,367,296
  5. Step 5: Solve for x
    x = 152,518,367,296/252,094
  6. Step 6: Final answer
    x = 605,005.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.