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Finding the Third Proportional to 467,587.69 and 597,466.76

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Solution

The third proportional to 467,587.69 and 597,466.76 is: 763,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,587.69 : 597,466.76 = 597,466.76 : x
  2. Step 2: Convert to fraction form
    467,587.69/597,466.76 = 597,466.76/x
  3. Step 3: Cross multiply
    467,587.69x = 597,466.76 × 597,466.76
  4. Step 4: Simplify right side
    467,587.69x = 356,966,526,690.98
  5. Step 5: Solve for x
    x = 356,966,526,690.98/467,587.69
  6. Step 6: Final answer
    x = 763,421.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.