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Finding the Third Proportional to 252,802.50 and 540,597

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Solution

The third proportional to 252,802.50 and 540,597 is: 1,156,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,802.50 : 540,597 = 540,597 : x
  2. Step 2: Convert to fraction form
    252,802.50/540,597 = 540,597/x
  3. Step 3: Cross multiply
    252,802.50x = 540,597 × 540,597
  4. Step 4: Simplify right side
    252,802.50x = 292,245,116,409
  5. Step 5: Solve for x
    x = 292,245,116,409/252,802.50
  6. Step 6: Final answer
    x = 1,156,021.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.