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Finding the Third Proportional to 388,435.50 and 524,810.25

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Solution

The third proportional to 388,435.50 and 524,810.25 is: 709,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,435.50 : 524,810.25 = 524,810.25 : x
  2. Step 2: Convert to fraction form
    388,435.50/524,810.25 = 524,810.25/x
  3. Step 3: Cross multiply
    388,435.50x = 524,810.25 × 524,810.25
  4. Step 4: Simplify right side
    388,435.50x = 275,425,798,505.06
  5. Step 5: Solve for x
    x = 275,425,798,505.06/388,435.50
  6. Step 6: Final answer
    x = 709,064.44

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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.