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Finding the Third Proportional to 249,073 and 515,868

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Solution

The third proportional to 249,073 and 515,868 is: 1,068,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,073 : 515,868 = 515,868 : x
  2. Step 2: Convert to fraction form
    249,073/515,868 = 515,868/x
  3. Step 3: Cross multiply
    249,073x = 515,868 × 515,868
  4. Step 4: Simplify right side
    249,073x = 266,119,793,424
  5. Step 5: Solve for x
    x = 266,119,793,424/249,073
  6. Step 6: Final answer
    x = 1,068,440.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.