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Finding the Third Proportional to 249,616.69 and 546,750

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Solution

The third proportional to 249,616.69 and 546,750 is: 1,197,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,616.69 : 546,750 = 546,750 : x
  2. Step 2: Convert to fraction form
    249,616.69/546,750 = 546,750/x
  3. Step 3: Cross multiply
    249,616.69x = 546,750 × 546,750
  4. Step 4: Simplify right side
    249,616.69x = 298,935,562,500
  5. Step 5: Solve for x
    x = 298,935,562,500/249,616.69
  6. Step 6: Final answer
    x = 1,197,578.44

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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.