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Finding the Third Proportional to 448,475.43 and 692,542.70

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Solution

The third proportional to 448,475.43 and 692,542.70 is: 1,069,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,475.43 : 692,542.70 = 692,542.70 : x
  2. Step 2: Convert to fraction form
    448,475.43/692,542.70 = 692,542.70/x
  3. Step 3: Cross multiply
    448,475.43x = 692,542.70 × 692,542.70
  4. Step 4: Simplify right side
    448,475.43x = 479,615,395,313.53
  5. Step 5: Solve for x
    x = 479,615,395,313.53/448,475.43
  6. Step 6: Final answer
    x = 1,069,435.18

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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.