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Finding the Third Proportional to 448,488 and 692,562

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Solution

The third proportional to 448,488 and 692,562 is: 1,069,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,488 : 692,562 = 692,562 : x
  2. Step 2: Convert to fraction form
    448,488/692,562 = 692,562/x
  3. Step 3: Cross multiply
    448,488x = 692,562 × 692,562
  4. Step 4: Simplify right side
    448,488x = 479,642,123,844
  5. Step 5: Solve for x
    x = 479,642,123,844/448,488
  6. Step 6: Final answer
    x = 1,069,464.79

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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.