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Finding the Third Proportional to 333,687 and 787,365

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Solution

The third proportional to 333,687 and 787,365 is: 1,857,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,687 : 787,365 = 787,365 : x
  2. Step 2: Convert to fraction form
    333,687/787,365 = 787,365/x
  3. Step 3: Cross multiply
    333,687x = 787,365 × 787,365
  4. Step 4: Simplify right side
    333,687x = 619,943,643,225
  5. Step 5: Solve for x
    x = 619,943,643,225/333,687
  6. Step 6: Final answer
    x = 1,857,859.74

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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.