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Finding the Third Proportional to 458,768 and 633,934

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Solution

The third proportional to 458,768 and 633,934 is: 875,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,768 : 633,934 = 633,934 : x
  2. Step 2: Convert to fraction form
    458,768/633,934 = 633,934/x
  3. Step 3: Cross multiply
    458,768x = 633,934 × 633,934
  4. Step 4: Simplify right side
    458,768x = 401,872,316,356
  5. Step 5: Solve for x
    x = 401,872,316,356/458,768
  6. Step 6: Final answer
    x = 875,981.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.