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Finding the Third Proportional to 290,080 and 615,008

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Solution

The third proportional to 290,080 and 615,008 is: 1,303,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,080 : 615,008 = 615,008 : x
  2. Step 2: Convert to fraction form
    290,080/615,008 = 615,008/x
  3. Step 3: Cross multiply
    290,080x = 615,008 × 615,008
  4. Step 4: Simplify right side
    290,080x = 378,234,840,064
  5. Step 5: Solve for x
    x = 378,234,840,064/290,080
  6. Step 6: Final answer
    x = 1,303,898.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.