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Finding the Third Proportional to 417,924 and 609,369.75

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Solution

The third proportional to 417,924 and 609,369.75 is: 888,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,924 : 609,369.75 = 609,369.75 : x
  2. Step 2: Convert to fraction form
    417,924/609,369.75 = 609,369.75/x
  3. Step 3: Cross multiply
    417,924x = 609,369.75 × 609,369.75
  4. Step 4: Simplify right side
    417,924x = 371,331,492,215.06
  5. Step 5: Solve for x
    x = 371,331,492,215.06/417,924
  6. Step 6: Final answer
    x = 888,514.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.