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Finding the Third Proportional to 497,130 and 745,749

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Solution

The third proportional to 497,130 and 745,749 is: 1,118,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,130 : 745,749 = 745,749 : x
  2. Step 2: Convert to fraction form
    497,130/745,749 = 745,749/x
  3. Step 3: Cross multiply
    497,130x = 745,749 × 745,749
  4. Step 4: Simplify right side
    497,130x = 556,141,571,001
  5. Step 5: Solve for x
    x = 556,141,571,001/497,130
  6. Step 6: Final answer
    x = 1,118,704.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.