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Finding the Third Proportional to 388,300.88 and 588,465.75

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Solution

The third proportional to 388,300.88 and 588,465.75 is: 891,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,300.88 : 588,465.75 = 588,465.75 : x
  2. Step 2: Convert to fraction form
    388,300.88/588,465.75 = 588,465.75/x
  3. Step 3: Cross multiply
    388,300.88x = 588,465.75 × 588,465.75
  4. Step 4: Simplify right side
    388,300.88x = 346,291,938,923.06
  5. Step 5: Solve for x
    x = 346,291,938,923.06/388,300.88
  6. Step 6: Final answer
    x = 891,813.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.