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Finding the Third Proportional to 249,562 and 545,780

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Solution

The third proportional to 249,562 and 545,780 is: 1,193,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,562 : 545,780 = 545,780 : x
  2. Step 2: Convert to fraction form
    249,562/545,780 = 545,780/x
  3. Step 3: Cross multiply
    249,562x = 545,780 × 545,780
  4. Step 4: Simplify right side
    249,562x = 297,875,808,400
  5. Step 5: Solve for x
    x = 297,875,808,400/249,562
  6. Step 6: Final answer
    x = 1,193,594.41

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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.