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Finding the Third Proportional to 365,077.13 and 544,578.19

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Solution

The third proportional to 365,077.13 and 544,578.19 is: 812,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,077.13 : 544,578.19 = 544,578.19 : x
  2. Step 2: Convert to fraction form
    365,077.13/544,578.19 = 544,578.19/x
  3. Step 3: Cross multiply
    365,077.13x = 544,578.19 × 544,578.19
  4. Step 4: Simplify right side
    365,077.13x = 296,565,402,300.79
  5. Step 5: Solve for x
    x = 296,565,402,300.79/365,077.13
  6. Step 6: Final answer
    x = 812,336.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.