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Finding the Third Proportional to 262,368 and 579,864

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Solution

The third proportional to 262,368 and 579,864 is: 1,281,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,368 : 579,864 = 579,864 : x
  2. Step 2: Convert to fraction form
    262,368/579,864 = 579,864/x
  3. Step 3: Cross multiply
    262,368x = 579,864 × 579,864
  4. Step 4: Simplify right side
    262,368x = 336,242,258,496
  5. Step 5: Solve for x
    x = 336,242,258,496/262,368
  6. Step 6: Final answer
    x = 1,281,567.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.