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Finding the Third Proportional to 451,617 and 615,130.25

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Solution

The third proportional to 451,617 and 615,130.25 is: 837,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,617 : 615,130.25 = 615,130.25 : x
  2. Step 2: Convert to fraction form
    451,617/615,130.25 = 615,130.25/x
  3. Step 3: Cross multiply
    451,617x = 615,130.25 × 615,130.25
  4. Step 4: Simplify right side
    451,617x = 378,385,224,465.06
  5. Step 5: Solve for x
    x = 378,385,224,465.06/451,617
  6. Step 6: Final answer
    x = 837,845.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.