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Finding the Third Proportional to 464,972 and 710,796

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Solution

The third proportional to 464,972 and 710,796 is: 1,086,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,972 : 710,796 = 710,796 : x
  2. Step 2: Convert to fraction form
    464,972/710,796 = 710,796/x
  3. Step 3: Cross multiply
    464,972x = 710,796 × 710,796
  4. Step 4: Simplify right side
    464,972x = 505,230,953,616
  5. Step 5: Solve for x
    x = 505,230,953,616/464,972
  6. Step 6: Final answer
    x = 1,086,583.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.