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Finding the Third Proportional to 249,705 and 546,045

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Solution

The third proportional to 249,705 and 546,045 is: 1,194,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,705 : 546,045 = 546,045 : x
  2. Step 2: Convert to fraction form
    249,705/546,045 = 546,045/x
  3. Step 3: Cross multiply
    249,705x = 546,045 × 546,045
  4. Step 4: Simplify right side
    249,705x = 298,165,142,025
  5. Step 5: Solve for x
    x = 298,165,142,025/249,705
  6. Step 6: Final answer
    x = 1,194,069.57

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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.