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Finding the Third Proportional to 249,390 and 546,786

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Solution

The third proportional to 249,390 and 546,786 is: 1,198,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,390 : 546,786 = 546,786 : x
  2. Step 2: Convert to fraction form
    249,390/546,786 = 546,786/x
  3. Step 3: Cross multiply
    249,390x = 546,786 × 546,786
  4. Step 4: Simplify right side
    249,390x = 298,974,929,796
  5. Step 5: Solve for x
    x = 298,974,929,796/249,390
  6. Step 6: Final answer
    x = 1,198,824.85

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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.