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Finding the Third Proportional to 365,044.50 and 780,534

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Solution

The third proportional to 365,044.50 and 780,534 is: 1,668,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,044.50 : 780,534 = 780,534 : x
  2. Step 2: Convert to fraction form
    365,044.50/780,534 = 780,534/x
  3. Step 3: Cross multiply
    365,044.50x = 780,534 × 780,534
  4. Step 4: Simplify right side
    365,044.50x = 609,233,325,156
  5. Step 5: Solve for x
    x = 609,233,325,156/365,044.50
  6. Step 6: Final answer
    x = 1,668,928.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.