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Finding the Third Proportional to 385,276.50 and 593,041.50

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Solution

The third proportional to 385,276.50 and 593,041.50 is: 912,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,276.50 : 593,041.50 = 593,041.50 : x
  2. Step 2: Convert to fraction form
    385,276.50/593,041.50 = 593,041.50/x
  3. Step 3: Cross multiply
    385,276.50x = 593,041.50 × 593,041.50
  4. Step 4: Simplify right side
    385,276.50x = 351,698,220,722.25
  5. Step 5: Solve for x
    x = 351,698,220,722.25/385,276.50
  6. Step 6: Final answer
    x = 912,846.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.