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Finding the Third Proportional to 333,461 and 786,681

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Solution

The third proportional to 333,461 and 786,681 is: 1,855,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,461 : 786,681 = 786,681 : x
  2. Step 2: Convert to fraction form
    333,461/786,681 = 786,681/x
  3. Step 3: Cross multiply
    333,461x = 786,681 × 786,681
  4. Step 4: Simplify right side
    333,461x = 618,866,995,761
  5. Step 5: Solve for x
    x = 618,866,995,761/333,461
  6. Step 6: Final answer
    x = 1,855,890.18

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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.