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Finding the Third Proportional to 333,645 and 787,279.13

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Solution

The third proportional to 333,645 and 787,279.13 is: 1,857,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,645 : 787,279.13 = 787,279.13 : x
  2. Step 2: Convert to fraction form
    333,645/787,279.13 = 787,279.13/x
  3. Step 3: Cross multiply
    333,645x = 787,279.13 × 787,279.13
  4. Step 4: Simplify right side
    333,645x = 619,808,420,660.77
  5. Step 5: Solve for x
    x = 619,808,420,660.77/333,645
  6. Step 6: Final answer
    x = 1,857,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.