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Finding the Third Proportional to 249,693 and 546,099

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Solution

The third proportional to 249,693 and 546,099 is: 1,194,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,693 : 546,099 = 546,099 : x
  2. Step 2: Convert to fraction form
    249,693/546,099 = 546,099/x
  3. Step 3: Cross multiply
    249,693x = 546,099 × 546,099
  4. Step 4: Simplify right side
    249,693x = 298,224,117,801
  5. Step 5: Solve for x
    x = 298,224,117,801/249,693
  6. Step 6: Final answer
    x = 1,194,363.15

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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.