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Finding the Third Proportional to 323,929.13 and 756,741.38

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Solution

The third proportional to 323,929.13 and 756,741.38 is: 1,767,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,929.13 : 756,741.38 = 756,741.38 : x
  2. Step 2: Convert to fraction form
    323,929.13/756,741.38 = 756,741.38/x
  3. Step 3: Cross multiply
    323,929.13x = 756,741.38 × 756,741.38
  4. Step 4: Simplify right side
    323,929.13x = 572,657,508,636.89
  5. Step 5: Solve for x
    x = 572,657,508,636.89/323,929.13
  6. Step 6: Final answer
    x = 1,767,848.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.