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Finding the Third Proportional to 333,465 and 786,691

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Solution

The third proportional to 333,465 and 786,691 is: 1,855,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,465 : 786,691 = 786,691 : x
  2. Step 2: Convert to fraction form
    333,465/786,691 = 786,691/x
  3. Step 3: Cross multiply
    333,465x = 786,691 × 786,691
  4. Step 4: Simplify right side
    333,465x = 618,882,729,481
  5. Step 5: Solve for x
    x = 618,882,729,481/333,465
  6. Step 6: Final answer
    x = 1,855,915.10

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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.