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Finding the Third Proportional to 373,598.16 and 773,780.06

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Solution

The third proportional to 373,598.16 and 773,780.06 is: 1,602,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,598.16 : 773,780.06 = 773,780.06 : x
  2. Step 2: Convert to fraction form
    373,598.16/773,780.06 = 773,780.06/x
  3. Step 3: Cross multiply
    373,598.16x = 773,780.06 × 773,780.06
  4. Step 4: Simplify right side
    373,598.16x = 598,735,585,122.50
  5. Step 5: Solve for x
    x = 598,735,585,122.50/373,598.16
  6. Step 6: Final answer
    x = 1,602,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.