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Finding the Third Proportional to 470,304 and 709,696

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Solution

The third proportional to 470,304 and 709,696 is: 1,070,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,304 : 709,696 = 709,696 : x
  2. Step 2: Convert to fraction form
    470,304/709,696 = 709,696/x
  3. Step 3: Cross multiply
    470,304x = 709,696 × 709,696
  4. Step 4: Simplify right side
    470,304x = 503,668,412,416
  5. Step 5: Solve for x
    x = 503,668,412,416/470,304
  6. Step 6: Final answer
    x = 1,070,942.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.