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Finding the Third Proportional to 249,700.13 and 550,296.94

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Solution

The third proportional to 249,700.13 and 550,296.94 is: 1,212,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,700.13 : 550,296.94 = 550,296.94 : x
  2. Step 2: Convert to fraction form
    249,700.13/550,296.94 = 550,296.94/x
  3. Step 3: Cross multiply
    249,700.13x = 550,296.94 × 550,296.94
  4. Step 4: Simplify right side
    249,700.13x = 302,826,719,421.88
  5. Step 5: Solve for x
    x = 302,826,719,421.88/249,700.13
  6. Step 6: Final answer
    x = 1,212,761.59

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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.