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Finding the Third Proportional to 249,643.27 and 545,994.11

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Solution

The third proportional to 249,643.27 and 545,994.11 is: 1,194,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,643.27 : 545,994.11 = 545,994.11 : x
  2. Step 2: Convert to fraction form
    249,643.27/545,994.11 = 545,994.11/x
  3. Step 3: Cross multiply
    249,643.27x = 545,994.11 × 545,994.11
  4. Step 4: Simplify right side
    249,643.27x = 298,109,563,206.62
  5. Step 5: Solve for x
    x = 298,109,563,206.62/249,643.27
  6. Step 6: Final answer
    x = 1,194,142.22

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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.