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Finding the Third Proportional to 436,535.44 and 652,114.69

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Solution

The third proportional to 436,535.44 and 652,114.69 is: 974,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,535.44 : 652,114.69 = 652,114.69 : x
  2. Step 2: Convert to fraction form
    436,535.44/652,114.69 = 652,114.69/x
  3. Step 3: Cross multiply
    436,535.44x = 652,114.69 × 652,114.69
  4. Step 4: Simplify right side
    436,535.44x = 425,253,565,653.22
  5. Step 5: Solve for x
    x = 425,253,565,653.22/436,535.44
  6. Step 6: Final answer
    x = 974,155.89

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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.