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Finding the Third Proportional to 249,612 and 545,880

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Solution

The third proportional to 249,612 and 545,880 is: 1,193,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,612 : 545,880 = 545,880 : x
  2. Step 2: Convert to fraction form
    249,612/545,880 = 545,880/x
  3. Step 3: Cross multiply
    249,612x = 545,880 × 545,880
  4. Step 4: Simplify right side
    249,612x = 297,984,974,400
  5. Step 5: Solve for x
    x = 297,984,974,400/249,612
  6. Step 6: Final answer
    x = 1,193,792.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.