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Finding the Third Proportional to 249,022.69 and 550,374.19

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Solution

The third proportional to 249,022.69 and 550,374.19 is: 1,216,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,022.69 : 550,374.19 = 550,374.19 : x
  2. Step 2: Convert to fraction form
    249,022.69/550,374.19 = 550,374.19/x
  3. Step 3: Cross multiply
    249,022.69x = 550,374.19 × 550,374.19
  4. Step 4: Simplify right side
    249,022.69x = 302,911,746,266.29
  5. Step 5: Solve for x
    x = 302,911,746,266.29/249,022.69
  6. Step 6: Final answer
    x = 1,216,402.21

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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.