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Finding the Third Proportional to 265,442 and 577,534

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Solution

The third proportional to 265,442 and 577,534 is: 1,256,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,442 : 577,534 = 577,534 : x
  2. Step 2: Convert to fraction form
    265,442/577,534 = 577,534/x
  3. Step 3: Cross multiply
    265,442x = 577,534 × 577,534
  4. Step 4: Simplify right side
    265,442x = 333,545,521,156
  5. Step 5: Solve for x
    x = 333,545,521,156/265,442
  6. Step 6: Final answer
    x = 1,256,566.49

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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.