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Finding the Third Proportional to 444,352 and 677,536

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Solution

The third proportional to 444,352 and 677,536 is: 1,033,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,352 : 677,536 = 677,536 : x
  2. Step 2: Convert to fraction form
    444,352/677,536 = 677,536/x
  3. Step 3: Cross multiply
    444,352x = 677,536 × 677,536
  4. Step 4: Simplify right side
    444,352x = 459,055,031,296
  5. Step 5: Solve for x
    x = 459,055,031,296/444,352
  6. Step 6: Final answer
    x = 1,033,088.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.