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Finding the Third Proportional to 293,397.19 and 618,842.53

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Solution

The third proportional to 293,397.19 and 618,842.53 is: 1,305,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,397.19 : 618,842.53 = 618,842.53 : x
  2. Step 2: Convert to fraction form
    293,397.19/618,842.53 = 618,842.53/x
  3. Step 3: Cross multiply
    293,397.19x = 618,842.53 × 618,842.53
  4. Step 4: Simplify right side
    293,397.19x = 382,966,078,483.91
  5. Step 5: Solve for x
    x = 382,966,078,483.91/293,397.19
  6. Step 6: Final answer
    x = 1,305,282.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.