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Finding the Third Proportional to 249,417 and 516,573

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Solution

The third proportional to 249,417 and 516,573 is: 1,069,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,417 : 516,573 = 516,573 : x
  2. Step 2: Convert to fraction form
    249,417/516,573 = 516,573/x
  3. Step 3: Cross multiply
    249,417x = 516,573 × 516,573
  4. Step 4: Simplify right side
    249,417x = 266,847,664,329
  5. Step 5: Solve for x
    x = 266,847,664,329/249,417
  6. Step 6: Final answer
    x = 1,069,885.63

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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.