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Finding the Third Proportional to 312,822 and 675,432

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Solution

The third proportional to 312,822 and 675,432 is: 1,458,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,822 : 675,432 = 675,432 : x
  2. Step 2: Convert to fraction form
    312,822/675,432 = 675,432/x
  3. Step 3: Cross multiply
    312,822x = 675,432 × 675,432
  4. Step 4: Simplify right side
    312,822x = 456,208,386,624
  5. Step 5: Solve for x
    x = 456,208,386,624/312,822
  6. Step 6: Final answer
    x = 1,458,364.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.