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Finding the Third Proportional to 262,574 and 562,513

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Solution

The third proportional to 262,574 and 562,513 is: 1,205,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,574 : 562,513 = 562,513 : x
  2. Step 2: Convert to fraction form
    262,574/562,513 = 562,513/x
  3. Step 3: Cross multiply
    262,574x = 562,513 × 562,513
  4. Step 4: Simplify right side
    262,574x = 316,420,875,169
  5. Step 5: Solve for x
    x = 316,420,875,169/262,574
  6. Step 6: Final answer
    x = 1,205,073.14

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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.