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Finding the Third Proportional to 308,528 and 466,080

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Solution

The third proportional to 308,528 and 466,080 is: 704,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,528 : 466,080 = 466,080 : x
  2. Step 2: Convert to fraction form
    308,528/466,080 = 466,080/x
  3. Step 3: Cross multiply
    308,528x = 466,080 × 466,080
  4. Step 4: Simplify right side
    308,528x = 217,230,566,400
  5. Step 5: Solve for x
    x = 217,230,566,400/308,528
  6. Step 6: Final answer
    x = 704,087.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.