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Finding the Third Proportional to 543,106.50 and 759,656.25

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Solution

The third proportional to 543,106.50 and 759,656.25 is: 1,062,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,106.50 : 759,656.25 = 759,656.25 : x
  2. Step 2: Convert to fraction form
    543,106.50/759,656.25 = 759,656.25/x
  3. Step 3: Cross multiply
    543,106.50x = 759,656.25 × 759,656.25
  4. Step 4: Simplify right side
    543,106.50x = 577,077,618,164.06
  5. Step 5: Solve for x
    x = 577,077,618,164.06/543,106.50
  6. Step 6: Final answer
    x = 1,062,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.