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Finding the Third Proportional to 265,621 and 575,490

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Solution

The third proportional to 265,621 and 575,490 is: 1,246,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,621 : 575,490 = 575,490 : x
  2. Step 2: Convert to fraction form
    265,621/575,490 = 575,490/x
  3. Step 3: Cross multiply
    265,621x = 575,490 × 575,490
  4. Step 4: Simplify right side
    265,621x = 331,188,740,100
  5. Step 5: Solve for x
    x = 331,188,740,100/265,621
  6. Step 6: Final answer
    x = 1,246,846.97

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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.