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Finding the Third Proportional to 249,700 and 550,300

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Solution

The third proportional to 249,700 and 550,300 is: 1,212,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,700 : 550,300 = 550,300 : x
  2. Step 2: Convert to fraction form
    249,700/550,300 = 550,300/x
  3. Step 3: Cross multiply
    249,700x = 550,300 × 550,300
  4. Step 4: Simplify right side
    249,700x = 302,830,090,000
  5. Step 5: Solve for x
    x = 302,830,090,000/249,700
  6. Step 6: Final answer
    x = 1,212,775.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.