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Finding the Third Proportional to 265,443 and 577,537

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Solution

The third proportional to 265,443 and 577,537 is: 1,256,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,443 : 577,537 = 577,537 : x
  2. Step 2: Convert to fraction form
    265,443/577,537 = 577,537/x
  3. Step 3: Cross multiply
    265,443x = 577,537 × 577,537
  4. Step 4: Simplify right side
    265,443x = 333,548,986,369
  5. Step 5: Solve for x
    x = 333,548,986,369/265,443
  6. Step 6: Final answer
    x = 1,256,574.81

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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.