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Finding the Third Proportional to 262,572 and 562,509

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Solution

The third proportional to 262,572 and 562,509 is: 1,205,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,572 : 562,509 = 562,509 : x
  2. Step 2: Convert to fraction form
    262,572/562,509 = 562,509/x
  3. Step 3: Cross multiply
    262,572x = 562,509 × 562,509
  4. Step 4: Simplify right side
    262,572x = 316,416,375,081
  5. Step 5: Solve for x
    x = 316,416,375,081/262,572
  6. Step 6: Final answer
    x = 1,205,065.18

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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.