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Finding the Third Proportional to 497,664 and 755,712

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Solution

The third proportional to 497,664 and 755,712 is: 1,147,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664 : 755,712 = 755,712 : x
  2. Step 2: Convert to fraction form
    497,664/755,712 = 755,712/x
  3. Step 3: Cross multiply
    497,664x = 755,712 × 755,712
  4. Step 4: Simplify right side
    497,664x = 571,100,626,944
  5. Step 5: Solve for x
    x = 571,100,626,944/497,664
  6. Step 6: Final answer
    x = 1,147,562.67

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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.