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Finding the Third Proportional to 370,024 and 555,088

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Solution

The third proportional to 370,024 and 555,088 is: 832,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,024 : 555,088 = 555,088 : x
  2. Step 2: Convert to fraction form
    370,024/555,088 = 555,088/x
  3. Step 3: Cross multiply
    370,024x = 555,088 × 555,088
  4. Step 4: Simplify right side
    370,024x = 308,122,687,744
  5. Step 5: Solve for x
    x = 308,122,687,744/370,024
  6. Step 6: Final answer
    x = 832,710.01

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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.