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Finding the Third Proportional to 249,701 and 550,303

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Solution

The third proportional to 249,701 and 550,303 is: 1,212,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,701 : 550,303 = 550,303 : x
  2. Step 2: Convert to fraction form
    249,701/550,303 = 550,303/x
  3. Step 3: Cross multiply
    249,701x = 550,303 × 550,303
  4. Step 4: Simplify right side
    249,701x = 302,833,391,809
  5. Step 5: Solve for x
    x = 302,833,391,809/249,701
  6. Step 6: Final answer
    x = 1,212,784.06

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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.