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Finding the Third Proportional to 249,701 and 550,302

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Solution

The third proportional to 249,701 and 550,302 is: 1,212,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,701 : 550,302 = 550,302 : x
  2. Step 2: Convert to fraction form
    249,701/550,302 = 550,302/x
  3. Step 3: Cross multiply
    249,701x = 550,302 × 550,302
  4. Step 4: Simplify right side
    249,701x = 302,832,291,204
  5. Step 5: Solve for x
    x = 302,832,291,204/249,701
  6. Step 6: Final answer
    x = 1,212,779.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.