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Finding the Third Proportional to 265,988 and 577,186

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Solution

The third proportional to 265,988 and 577,186 is: 1,252,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 577,186 = 577,186 : x
  2. Step 2: Convert to fraction form
    265,988/577,186 = 577,186/x
  3. Step 3: Cross multiply
    265,988x = 577,186 × 577,186
  4. Step 4: Simplify right side
    265,988x = 333,143,678,596
  5. Step 5: Solve for x
    x = 333,143,678,596/265,988
  6. Step 6: Final answer
    x = 1,252,476.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.