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Finding the Third Proportional to 481,681.50 and 750,091.50

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Solution

The third proportional to 481,681.50 and 750,091.50 is: 1,168,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,681.50 : 750,091.50 = 750,091.50 : x
  2. Step 2: Convert to fraction form
    481,681.50/750,091.50 = 750,091.50/x
  3. Step 3: Cross multiply
    481,681.50x = 750,091.50 × 750,091.50
  4. Step 4: Simplify right side
    481,681.50x = 562,637,258,372.25
  5. Step 5: Solve for x
    x = 562,637,258,372.25/481,681.50
  6. Step 6: Final answer
    x = 1,168,069.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.