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Finding the Third Proportional to 295,573.13 and 614,734.13

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Solution

The third proportional to 295,573.13 and 614,734.13 is: 1,278,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,573.13 : 614,734.13 = 614,734.13 : x
  2. Step 2: Convert to fraction form
    295,573.13/614,734.13 = 614,734.13/x
  3. Step 3: Cross multiply
    295,573.13x = 614,734.13 × 614,734.13
  4. Step 4: Simplify right side
    295,573.13x = 377,898,044,439.52
  5. Step 5: Solve for x
    x = 377,898,044,439.52/295,573.13
  6. Step 6: Final answer
    x = 1,278,526.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.