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Finding the Third Proportional to 388,417.50 and 596,157.75

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Solution

The third proportional to 388,417.50 and 596,157.75 is: 915,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,417.50 : 596,157.75 = 596,157.75 : x
  2. Step 2: Convert to fraction form
    388,417.50/596,157.75 = 596,157.75/x
  3. Step 3: Cross multiply
    388,417.50x = 596,157.75 × 596,157.75
  4. Step 4: Simplify right side
    388,417.50x = 355,404,062,885.06
  5. Step 5: Solve for x
    x = 355,404,062,885.06/388,417.50
  6. Step 6: Final answer
    x = 915,005.28

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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.