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Finding the Third Proportional to 370,071 and 553,614.75

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Solution

The third proportional to 370,071 and 553,614.75 is: 828,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,071 : 553,614.75 = 553,614.75 : x
  2. Step 2: Convert to fraction form
    370,071/553,614.75 = 553,614.75/x
  3. Step 3: Cross multiply
    370,071x = 553,614.75 × 553,614.75
  4. Step 4: Simplify right side
    370,071x = 306,489,291,417.56
  5. Step 5: Solve for x
    x = 306,489,291,417.56/370,071
  6. Step 6: Final answer
    x = 828,190.51

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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.