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Finding the Third Proportional to 265,884 and 578,424

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Solution

The third proportional to 265,884 and 578,424 is: 1,258,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884 : 578,424 = 578,424 : x
  2. Step 2: Convert to fraction form
    265,884/578,424 = 578,424/x
  3. Step 3: Cross multiply
    265,884x = 578,424 × 578,424
  4. Step 4: Simplify right side
    265,884x = 334,574,323,776
  5. Step 5: Solve for x
    x = 334,574,323,776/265,884
  6. Step 6: Final answer
    x = 1,258,346.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.