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Finding the Third Proportional to 464,586.75 and 681,526.13

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Solution

The third proportional to 464,586.75 and 681,526.13 is: 999,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,586.75 : 681,526.13 = 681,526.13 : x
  2. Step 2: Convert to fraction form
    464,586.75/681,526.13 = 681,526.13/x
  3. Step 3: Cross multiply
    464,586.75x = 681,526.13 × 681,526.13
  4. Step 4: Simplify right side
    464,586.75x = 464,477,859,057.52
  5. Step 5: Solve for x
    x = 464,477,859,057.52/464,586.75
  6. Step 6: Final answer
    x = 999,765.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.