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Finding the Third Proportional to 385,707.45 and 577,164.23

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Solution

The third proportional to 385,707.45 and 577,164.23 is: 863,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,707.45 : 577,164.23 = 577,164.23 : x
  2. Step 2: Convert to fraction form
    385,707.45/577,164.23 = 577,164.23/x
  3. Step 3: Cross multiply
    385,707.45x = 577,164.23 × 577,164.23
  4. Step 4: Simplify right side
    385,707.45x = 333,118,553,441.68
  5. Step 5: Solve for x
    x = 333,118,553,441.68/385,707.45
  6. Step 6: Final answer
    x = 863,656.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.