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Finding the Third Proportional to 262,169 and 574,359

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Solution

The third proportional to 262,169 and 574,359 is: 1,258,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,169 : 574,359 = 574,359 : x
  2. Step 2: Convert to fraction form
    262,169/574,359 = 574,359/x
  3. Step 3: Cross multiply
    262,169x = 574,359 × 574,359
  4. Step 4: Simplify right side
    262,169x = 329,888,260,881
  5. Step 5: Solve for x
    x = 329,888,260,881/262,169
  6. Step 6: Final answer
    x = 1,258,303.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.