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Finding the Third Proportional to 337,143 and 767,823

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Solution

The third proportional to 337,143 and 767,823 is: 1,748,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,143 : 767,823 = 767,823 : x
  2. Step 2: Convert to fraction form
    337,143/767,823 = 767,823/x
  3. Step 3: Cross multiply
    337,143x = 767,823 × 767,823
  4. Step 4: Simplify right side
    337,143x = 589,552,159,329
  5. Step 5: Solve for x
    x = 589,552,159,329/337,143
  6. Step 6: Final answer
    x = 1,748,670.92

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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.