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Finding the Third Proportional to 437,463 and 675,585

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Solution

The third proportional to 437,463 and 675,585 is: 1,043,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,463 : 675,585 = 675,585 : x
  2. Step 2: Convert to fraction form
    437,463/675,585 = 675,585/x
  3. Step 3: Cross multiply
    437,463x = 675,585 × 675,585
  4. Step 4: Simplify right side
    437,463x = 456,415,092,225
  5. Step 5: Solve for x
    x = 456,415,092,225/437,463
  6. Step 6: Final answer
    x = 1,043,322.73

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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.