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Finding the Third Proportional to 265,266 and 390,069

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Solution

The third proportional to 265,266 and 390,069 is: 573,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,266 : 390,069 = 390,069 : x
  2. Step 2: Convert to fraction form
    265,266/390,069 = 390,069/x
  3. Step 3: Cross multiply
    265,266x = 390,069 × 390,069
  4. Step 4: Simplify right side
    265,266x = 152,153,824,761
  5. Step 5: Solve for x
    x = 152,153,824,761/265,266
  6. Step 6: Final answer
    x = 573,589.62

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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.