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Finding the Third Proportional to 375,216 and 562,172

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Solution

The third proportional to 375,216 and 562,172 is: 842,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,216 : 562,172 = 562,172 : x
  2. Step 2: Convert to fraction form
    375,216/562,172 = 562,172/x
  3. Step 3: Cross multiply
    375,216x = 562,172 × 562,172
  4. Step 4: Simplify right side
    375,216x = 316,037,357,584
  5. Step 5: Solve for x
    x = 316,037,357,584/375,216
  6. Step 6: Final answer
    x = 842,281.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.