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Finding the Third Proportional to 262,368 and 575,172

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Solution

The third proportional to 262,368 and 575,172 is: 1,260,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,368 : 575,172 = 575,172 : x
  2. Step 2: Convert to fraction form
    262,368/575,172 = 575,172/x
  3. Step 3: Cross multiply
    262,368x = 575,172 × 575,172
  4. Step 4: Simplify right side
    262,368x = 330,822,829,584
  5. Step 5: Solve for x
    x = 330,822,829,584/262,368
  6. Step 6: Final answer
    x = 1,260,911.50

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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.