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Finding the Third Proportional to 262,570 and 562,501

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Solution

The third proportional to 262,570 and 562,501 is: 1,205,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,570 : 562,501 = 562,501 : x
  2. Step 2: Convert to fraction form
    262,570/562,501 = 562,501/x
  3. Step 3: Cross multiply
    262,570x = 562,501 × 562,501
  4. Step 4: Simplify right side
    262,570x = 316,407,375,001
  5. Step 5: Solve for x
    x = 316,407,375,001/262,570
  6. Step 6: Final answer
    x = 1,205,040.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.