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Finding the Third Proportional to 249,984 and 550,080

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Solution

The third proportional to 249,984 and 550,080 is: 1,210,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,984 : 550,080 = 550,080 : x
  2. Step 2: Convert to fraction form
    249,984/550,080 = 550,080/x
  3. Step 3: Cross multiply
    249,984x = 550,080 × 550,080
  4. Step 4: Simplify right side
    249,984x = 302,588,006,400
  5. Step 5: Solve for x
    x = 302,588,006,400/249,984
  6. Step 6: Final answer
    x = 1,210,429.49

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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.