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Finding the Third Proportional to 475,011 and 710,145

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Solution

The third proportional to 475,011 and 710,145 is: 1,061,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,011 : 710,145 = 710,145 : x
  2. Step 2: Convert to fraction form
    475,011/710,145 = 710,145/x
  3. Step 3: Cross multiply
    475,011x = 710,145 × 710,145
  4. Step 4: Simplify right side
    475,011x = 504,305,921,025
  5. Step 5: Solve for x
    x = 504,305,921,025/475,011
  6. Step 6: Final answer
    x = 1,061,672.09

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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.