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Finding the Third Proportional to 386,790.19 and 591,302.53

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Solution

The third proportional to 386,790.19 and 591,302.53 is: 903,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,790.19 : 591,302.53 = 591,302.53 : x
  2. Step 2: Convert to fraction form
    386,790.19/591,302.53 = 591,302.53/x
  3. Step 3: Cross multiply
    386,790.19x = 591,302.53 × 591,302.53
  4. Step 4: Simplify right side
    386,790.19x = 349,638,683,462.66
  5. Step 5: Solve for x
    x = 349,638,683,462.66/386,790.19
  6. Step 6: Final answer
    x = 903,949.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.