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Finding the Third Proportional to 395,915.34 and 537,899.48

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Solution

The third proportional to 395,915.34 and 537,899.48 is: 730,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,915.34 : 537,899.48 = 537,899.48 : x
  2. Step 2: Convert to fraction form
    395,915.34/537,899.48 = 537,899.48/x
  3. Step 3: Cross multiply
    395,915.34x = 537,899.48 × 537,899.48
  4. Step 4: Simplify right side
    395,915.34x = 289,335,855,290.89
  5. Step 5: Solve for x
    x = 289,335,855,290.89/395,915.34
  6. Step 6: Final answer
    x = 730,802.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.