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Finding the Third Proportional to 249,024.94 and 550,378.69

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Solution

The third proportional to 249,024.94 and 550,378.69 is: 1,216,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,024.94 : 550,378.69 = 550,378.69 : x
  2. Step 2: Convert to fraction form
    249,024.94/550,378.69 = 550,378.69/x
  3. Step 3: Cross multiply
    249,024.94x = 550,378.69 × 550,378.69
  4. Step 4: Simplify right side
    249,024.94x = 302,916,699,654.22
  5. Step 5: Solve for x
    x = 302,916,699,654.22/249,024.94
  6. Step 6: Final answer
    x = 1,216,411.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.