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Finding the Third Proportional to 444,582 and 689,681.25

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Solution

The third proportional to 444,582 and 689,681.25 is: 1,069,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,582 : 689,681.25 = 689,681.25 : x
  2. Step 2: Convert to fraction form
    444,582/689,681.25 = 689,681.25/x
  3. Step 3: Cross multiply
    444,582x = 689,681.25 × 689,681.25
  4. Step 4: Simplify right side
    444,582x = 475,660,226,601.56
  5. Step 5: Solve for x
    x = 475,660,226,601.56/444,582
  6. Step 6: Final answer
    x = 1,069,904.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.