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Finding the Third Proportional to 265,080 and 569,712

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Solution

The third proportional to 265,080 and 569,712 is: 1,224,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,080 : 569,712 = 569,712 : x
  2. Step 2: Convert to fraction form
    265,080/569,712 = 569,712/x
  3. Step 3: Cross multiply
    265,080x = 569,712 × 569,712
  4. Step 4: Simplify right side
    265,080x = 324,571,762,944
  5. Step 5: Solve for x
    x = 324,571,762,944/265,080
  6. Step 6: Final answer
    x = 1,224,429.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.