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Finding the Third Proportional to 249,452.86 and 547,190.58

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Solution

The third proportional to 249,452.86 and 547,190.58 is: 1,200,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,452.86 : 547,190.58 = 547,190.58 : x
  2. Step 2: Convert to fraction form
    249,452.86/547,190.58 = 547,190.58/x
  3. Step 3: Cross multiply
    249,452.86x = 547,190.58 × 547,190.58
  4. Step 4: Simplify right side
    249,452.86x = 299,417,528,788.77
  5. Step 5: Solve for x
    x = 299,417,528,788.77/249,452.86
  6. Step 6: Final answer
    x = 1,200,297.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.