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Finding the Third Proportional to 435,904 and 666,528

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Solution

The third proportional to 435,904 and 666,528 is: 1,019,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,904 : 666,528 = 666,528 : x
  2. Step 2: Convert to fraction form
    435,904/666,528 = 666,528/x
  3. Step 3: Cross multiply
    435,904x = 666,528 × 666,528
  4. Step 4: Simplify right side
    435,904x = 444,259,574,784
  5. Step 5: Solve for x
    x = 444,259,574,784/435,904
  6. Step 6: Final answer
    x = 1,019,168.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.