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Finding the Third Proportional to 472,898 and 714,251

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Solution

The third proportional to 472,898 and 714,251 is: 1,078,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,898 : 714,251 = 714,251 : x
  2. Step 2: Convert to fraction form
    472,898/714,251 = 714,251/x
  3. Step 3: Cross multiply
    472,898x = 714,251 × 714,251
  4. Step 4: Simplify right side
    472,898x = 510,154,491,001
  5. Step 5: Solve for x
    x = 510,154,491,001/472,898
  6. Step 6: Final answer
    x = 1,078,783.35

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