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Finding the Third Proportional to 265,352 and 560,654

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Solution

The third proportional to 265,352 and 560,654 is: 1,184,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,352 : 560,654 = 560,654 : x
  2. Step 2: Convert to fraction form
    265,352/560,654 = 560,654/x
  3. Step 3: Cross multiply
    265,352x = 560,654 × 560,654
  4. Step 4: Simplify right side
    265,352x = 314,332,907,716
  5. Step 5: Solve for x
    x = 314,332,907,716/265,352
  6. Step 6: Final answer
    x = 1,184,588.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.