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Finding the Third Proportional to 727,681.50 and 1,144,984.50

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Solution

The third proportional to 727,681.50 and 1,144,984.50 is: 1,801,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,681.50 : 1,144,984.50 = 1,144,984.50 : x
  2. Step 2: Convert to fraction form
    727,681.50/1,144,984.50 = 1,144,984.50/x
  3. Step 3: Cross multiply
    727,681.50x = 1,144,984.50 × 1,144,984.50
  4. Step 4: Simplify right side
    727,681.50x = 1,310,989,505,240.25
  5. Step 5: Solve for x
    x = 1,310,989,505,240.25/727,681.50
  6. Step 6: Final answer
    x = 1,801,597.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.