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Finding the Third Proportional to 497,596 and 748,890

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Solution

The third proportional to 497,596 and 748,890 is: 1,127,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,596 : 748,890 = 748,890 : x
  2. Step 2: Convert to fraction form
    497,596/748,890 = 748,890/x
  3. Step 3: Cross multiply
    497,596x = 748,890 × 748,890
  4. Step 4: Simplify right side
    497,596x = 560,836,232,100
  5. Step 5: Solve for x
    x = 560,836,232,100/497,596
  6. Step 6: Final answer
    x = 1,127,091.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.