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Finding the Third Proportional to 456,790 and 670,254

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Solution

The third proportional to 456,790 and 670,254 is: 983,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,790 : 670,254 = 670,254 : x
  2. Step 2: Convert to fraction form
    456,790/670,254 = 670,254/x
  3. Step 3: Cross multiply
    456,790x = 670,254 × 670,254
  4. Step 4: Simplify right side
    456,790x = 449,240,424,516
  5. Step 5: Solve for x
    x = 449,240,424,516/456,790
  6. Step 6: Final answer
    x = 983,472.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.