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Finding the Third Proportional to 363,030 and 576,577.50

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Solution

The third proportional to 363,030 and 576,577.50 is: 915,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,030 : 576,577.50 = 576,577.50 : x
  2. Step 2: Convert to fraction form
    363,030/576,577.50 = 576,577.50/x
  3. Step 3: Cross multiply
    363,030x = 576,577.50 × 576,577.50
  4. Step 4: Simplify right side
    363,030x = 332,441,613,506.25
  5. Step 5: Solve for x
    x = 332,441,613,506.25/363,030
  6. Step 6: Final answer
    x = 915,741.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.