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Finding the Third Proportional to 464,827 and 718,261

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Solution

The third proportional to 464,827 and 718,261 is: 1,109,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,827 : 718,261 = 718,261 : x
  2. Step 2: Convert to fraction form
    464,827/718,261 = 718,261/x
  3. Step 3: Cross multiply
    464,827x = 718,261 × 718,261
  4. Step 4: Simplify right side
    464,827x = 515,898,864,121
  5. Step 5: Solve for x
    x = 515,898,864,121/464,827
  6. Step 6: Final answer
    x = 1,109,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.