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Finding the Third Proportional to 265,564 and 406,088

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Solution

The third proportional to 265,564 and 406,088 is: 620,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,564 : 406,088 = 406,088 : x
  2. Step 2: Convert to fraction form
    265,564/406,088 = 406,088/x
  3. Step 3: Cross multiply
    265,564x = 406,088 × 406,088
  4. Step 4: Simplify right side
    265,564x = 164,907,463,744
  5. Step 5: Solve for x
    x = 164,907,463,744/265,564
  6. Step 6: Final answer
    x = 620,970.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.