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Finding the Third Proportional to 473,696 and 709,104

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Solution

The third proportional to 473,696 and 709,104 is: 1,061,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696 : 709,104 = 709,104 : x
  2. Step 2: Convert to fraction form
    473,696/709,104 = 709,104/x
  3. Step 3: Cross multiply
    473,696x = 709,104 × 709,104
  4. Step 4: Simplify right side
    473,696x = 502,828,482,816
  5. Step 5: Solve for x
    x = 502,828,482,816/473,696
  6. Step 6: Final answer
    x = 1,061,500.38

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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.