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Finding the Third Proportional to 249,225 and 546,701

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Solution

The third proportional to 249,225 and 546,701 is: 1,199,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,225 : 546,701 = 546,701 : x
  2. Step 2: Convert to fraction form
    249,225/546,701 = 546,701/x
  3. Step 3: Cross multiply
    249,225x = 546,701 × 546,701
  4. Step 4: Simplify right side
    249,225x = 298,881,983,401
  5. Step 5: Solve for x
    x = 298,881,983,401/249,225
  6. Step 6: Final answer
    x = 1,199,245.59

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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.