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Finding the Third Proportional to 388,967.06 and 524,356.03

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Solution

The third proportional to 388,967.06 and 524,356.03 is: 706,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,967.06 : 524,356.03 = 524,356.03 : x
  2. Step 2: Convert to fraction form
    388,967.06/524,356.03 = 524,356.03/x
  3. Step 3: Cross multiply
    388,967.06x = 524,356.03 × 524,356.03
  4. Step 4: Simplify right side
    388,967.06x = 274,949,247,508.25
  5. Step 5: Solve for x
    x = 274,949,247,508.25/388,967.06
  6. Step 6: Final answer
    x = 706,870.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.