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Finding the Third Proportional to 449,312 and 675,792

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Solution

The third proportional to 449,312 and 675,792 is: 1,016,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,312 : 675,792 = 675,792 : x
  2. Step 2: Convert to fraction form
    449,312/675,792 = 675,792/x
  3. Step 3: Cross multiply
    449,312x = 675,792 × 675,792
  4. Step 4: Simplify right side
    449,312x = 456,694,827,264
  5. Step 5: Solve for x
    x = 456,694,827,264/449,312
  6. Step 6: Final answer
    x = 1,016,431.40

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Why These Related Problems?

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