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Finding the Third Proportional to 555,483.38 and 829,578.94

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Solution

The third proportional to 555,483.38 and 829,578.94 is: 1,238,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,483.38 : 829,578.94 = 829,578.94 : x
  2. Step 2: Convert to fraction form
    555,483.38/829,578.94 = 829,578.94/x
  3. Step 3: Cross multiply
    555,483.38x = 829,578.94 × 829,578.94
  4. Step 4: Simplify right side
    555,483.38x = 688,201,213,543.63
  5. Step 5: Solve for x
    x = 688,201,213,543.63/555,483.38
  6. Step 6: Final answer
    x = 1,238,923.15

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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.