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Finding the Third Proportional to 508,528.76 and 767,991.53

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Solution

The third proportional to 508,528.76 and 767,991.53 is: 1,159,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,528.76 : 767,991.53 = 767,991.53 : x
  2. Step 2: Convert to fraction form
    508,528.76/767,991.53 = 767,991.53/x
  3. Step 3: Cross multiply
    508,528.76x = 767,991.53 × 767,991.53
  4. Step 4: Simplify right side
    508,528.76x = 589,810,995,071.68
  5. Step 5: Solve for x
    x = 589,810,995,071.68/508,528.76
  6. Step 6: Final answer
    x = 1,159,838.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.