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Finding the Third Proportional to 473,112 and 707,964

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Solution

The third proportional to 473,112 and 707,964 is: 1,059,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,112 : 707,964 = 707,964 : x
  2. Step 2: Convert to fraction form
    473,112/707,964 = 707,964/x
  3. Step 3: Cross multiply
    473,112x = 707,964 × 707,964
  4. Step 4: Simplify right side
    473,112x = 501,213,025,296
  5. Step 5: Solve for x
    x = 501,213,025,296/473,112
  6. Step 6: Final answer
    x = 1,059,396.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.