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Finding the Third Proportional to 337,139 and 767,813

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Solution

The third proportional to 337,139 and 767,813 is: 1,748,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,139 : 767,813 = 767,813 : x
  2. Step 2: Convert to fraction form
    337,139/767,813 = 767,813/x
  3. Step 3: Cross multiply
    337,139x = 767,813 × 767,813
  4. Step 4: Simplify right side
    337,139x = 589,536,802,969
  5. Step 5: Solve for x
    x = 589,536,802,969/337,139
  6. Step 6: Final answer
    x = 1,748,646.12

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.