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Finding the Third Proportional to 364,044.38 and 569,829.94

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Solution

The third proportional to 364,044.38 and 569,829.94 is: 891,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,044.38 : 569,829.94 = 569,829.94 : x
  2. Step 2: Convert to fraction form
    364,044.38/569,829.94 = 569,829.94/x
  3. Step 3: Cross multiply
    364,044.38x = 569,829.94 × 569,829.94
  4. Step 4: Simplify right side
    364,044.38x = 324,706,157,671.25
  5. Step 5: Solve for x
    x = 324,706,157,671.25/364,044.38
  6. Step 6: Final answer
    x = 891,941.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.