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Finding the Third Proportional to 265,596 and 575,445

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Solution

The third proportional to 265,596 and 575,445 is: 1,246,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,596 : 575,445 = 575,445 : x
  2. Step 2: Convert to fraction form
    265,596/575,445 = 575,445/x
  3. Step 3: Cross multiply
    265,596x = 575,445 × 575,445
  4. Step 4: Simplify right side
    265,596x = 331,136,948,025
  5. Step 5: Solve for x
    x = 331,136,948,025/265,596
  6. Step 6: Final answer
    x = 1,246,769.33

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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.