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Finding the Third Proportional to 290,934.28 and 451,535.77

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Solution

The third proportional to 290,934.28 and 451,535.77 is: 700,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,934.28 : 451,535.77 = 451,535.77 : x
  2. Step 2: Convert to fraction form
    290,934.28/451,535.77 = 451,535.77/x
  3. Step 3: Cross multiply
    290,934.28x = 451,535.77 × 451,535.77
  4. Step 4: Simplify right side
    290,934.28x = 203,884,547,638.56
  5. Step 5: Solve for x
    x = 203,884,547,638.56/290,934.28
  6. Step 6: Final answer
    x = 700,792.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.