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Finding the Third Proportional to 449,897.63 and 715,489.88

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Solution

The third proportional to 449,897.63 and 715,489.88 is: 1,137,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,897.63 : 715,489.88 = 715,489.88 : x
  2. Step 2: Convert to fraction form
    449,897.63/715,489.88 = 715,489.88/x
  3. Step 3: Cross multiply
    449,897.63x = 715,489.88 × 715,489.88
  4. Step 4: Simplify right side
    449,897.63x = 511,925,761,227.52
  5. Step 5: Solve for x
    x = 511,925,761,227.52/449,897.63
  6. Step 6: Final answer
    x = 1,137,871.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.