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Finding the Third Proportional to 465,031.13 and 658,199.67

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Solution

The third proportional to 465,031.13 and 658,199.67 is: 931,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,031.13 : 658,199.67 = 658,199.67 : x
  2. Step 2: Convert to fraction form
    465,031.13/658,199.67 = 658,199.67/x
  3. Step 3: Cross multiply
    465,031.13x = 658,199.67 × 658,199.67
  4. Step 4: Simplify right side
    465,031.13x = 433,226,808,056.36
  5. Step 5: Solve for x
    x = 433,226,808,056.36/465,031.13
  6. Step 6: Final answer
    x = 931,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.