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Finding the Third Proportional to 432,080 and 633,528

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Solution

The third proportional to 432,080 and 633,528 is: 928,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080 : 633,528 = 633,528 : x
  2. Step 2: Convert to fraction form
    432,080/633,528 = 633,528/x
  3. Step 3: Cross multiply
    432,080x = 633,528 × 633,528
  4. Step 4: Simplify right side
    432,080x = 401,357,726,784
  5. Step 5: Solve for x
    x = 401,357,726,784/432,080
  6. Step 6: Final answer
    x = 928,896.79

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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.