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Finding the Third Proportional to 497,880 and 754,340

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Solution

The third proportional to 497,880 and 754,340 is: 1,142,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,880 : 754,340 = 754,340 : x
  2. Step 2: Convert to fraction form
    497,880/754,340 = 754,340/x
  3. Step 3: Cross multiply
    497,880x = 754,340 × 754,340
  4. Step 4: Simplify right side
    497,880x = 569,028,835,600
  5. Step 5: Solve for x
    x = 569,028,835,600/497,880
  6. Step 6: Final answer
    x = 1,142,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.