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Finding the Third Proportional to 249,240 and 550,032

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Solution

The third proportional to 249,240 and 550,032 is: 1,213,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,240 : 550,032 = 550,032 : x
  2. Step 2: Convert to fraction form
    249,240/550,032 = 550,032/x
  3. Step 3: Cross multiply
    249,240x = 550,032 × 550,032
  4. Step 4: Simplify right side
    249,240x = 302,535,201,024
  5. Step 5: Solve for x
    x = 302,535,201,024/249,240
  6. Step 6: Final answer
    x = 1,213,830.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.