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Finding the Third Proportional to 265,258 and 569,780

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Solution

The third proportional to 265,258 and 569,780 is: 1,223,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,258 : 569,780 = 569,780 : x
  2. Step 2: Convert to fraction form
    265,258/569,780 = 569,780/x
  3. Step 3: Cross multiply
    265,258x = 569,780 × 569,780
  4. Step 4: Simplify right side
    265,258x = 324,649,248,400
  5. Step 5: Solve for x
    x = 324,649,248,400/265,258
  6. Step 6: Final answer
    x = 1,223,899.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.