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Finding the Third Proportional to 445,356 and 688,041

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Solution

The third proportional to 445,356 and 688,041 is: 1,062,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,356 : 688,041 = 688,041 : x
  2. Step 2: Convert to fraction form
    445,356/688,041 = 688,041/x
  3. Step 3: Cross multiply
    445,356x = 688,041 × 688,041
  4. Step 4: Simplify right side
    445,356x = 473,400,417,681
  5. Step 5: Solve for x
    x = 473,400,417,681/445,356
  6. Step 6: Final answer
    x = 1,062,970.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.