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Finding the Third Proportional to 411,184 and 615,088

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Solution

The third proportional to 411,184 and 615,088 is: 920,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,184 : 615,088 = 615,088 : x
  2. Step 2: Convert to fraction form
    411,184/615,088 = 615,088/x
  3. Step 3: Cross multiply
    411,184x = 615,088 × 615,088
  4. Step 4: Simplify right side
    411,184x = 378,333,247,744
  5. Step 5: Solve for x
    x = 378,333,247,744/411,184
  6. Step 6: Final answer
    x = 920,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.