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Finding the Third Proportional to 630,433.13 and 985,015.69

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Solution

The third proportional to 630,433.13 and 985,015.69 is: 1,539,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,433.13 : 985,015.69 = 985,015.69 : x
  2. Step 2: Convert to fraction form
    630,433.13/985,015.69 = 985,015.69/x
  3. Step 3: Cross multiply
    630,433.13x = 985,015.69 × 985,015.69
  4. Step 4: Simplify right side
    630,433.13x = 970,255,904,621.10
  5. Step 5: Solve for x
    x = 970,255,904,621.10/630,433.13
  6. Step 6: Final answer
    x = 1,539,030.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.