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Finding the Third Proportional to 403,146 and 609,934

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Solution

The third proportional to 403,146 and 609,934 is: 922,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,146 : 609,934 = 609,934 : x
  2. Step 2: Convert to fraction form
    403,146/609,934 = 609,934/x
  3. Step 3: Cross multiply
    403,146x = 609,934 × 609,934
  4. Step 4: Simplify right side
    403,146x = 372,019,484,356
  5. Step 5: Solve for x
    x = 372,019,484,356/403,146
  6. Step 6: Final answer
    x = 922,790.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.