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Finding the Third Proportional to 249,990 and 550,002

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Solution

The third proportional to 249,990 and 550,002 is: 1,210,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,990 : 550,002 = 550,002 : x
  2. Step 2: Convert to fraction form
    249,990/550,002 = 550,002/x
  3. Step 3: Cross multiply
    249,990x = 550,002 × 550,002
  4. Step 4: Simplify right side
    249,990x = 302,502,200,004
  5. Step 5: Solve for x
    x = 302,502,200,004/249,990
  6. Step 6: Final answer
    x = 1,210,057.20

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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.