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Finding the Third Proportional to 249,998 and 550,024

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Solution

The third proportional to 249,998 and 550,024 is: 1,210,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,998 : 550,024 = 550,024 : x
  2. Step 2: Convert to fraction form
    249,998/550,024 = 550,024/x
  3. Step 3: Cross multiply
    249,998x = 550,024 × 550,024
  4. Step 4: Simplify right side
    249,998x = 302,526,400,576
  5. Step 5: Solve for x
    x = 302,526,400,576/249,998
  6. Step 6: Final answer
    x = 1,210,115.28

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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.