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Finding the Third Proportional to 458,674 and 674,528

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Solution

The third proportional to 458,674 and 674,528 is: 991,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,674 : 674,528 = 674,528 : x
  2. Step 2: Convert to fraction form
    458,674/674,528 = 674,528/x
  3. Step 3: Cross multiply
    458,674x = 674,528 × 674,528
  4. Step 4: Simplify right side
    458,674x = 454,988,022,784
  5. Step 5: Solve for x
    x = 454,988,022,784/458,674
  6. Step 6: Final answer
    x = 991,963.84

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Why These Related Problems?

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