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Finding the Third Proportional to 351,734.91 and 767,823.05

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Solution

The third proportional to 351,734.91 and 767,823.05 is: 1,676,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,734.91 : 767,823.05 = 767,823.05 : x
  2. Step 2: Convert to fraction form
    351,734.91/767,823.05 = 767,823.05/x
  3. Step 3: Cross multiply
    351,734.91x = 767,823.05 × 767,823.05
  4. Step 4: Simplify right side
    351,734.91x = 589,552,231,312.41
  5. Step 5: Solve for x
    x = 589,552,231,312.41/351,734.91
  6. Step 6: Final answer
    x = 1,676,126.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.