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Finding the Third Proportional to 731,623.50 and 1,125,967.50

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Solution

The third proportional to 731,623.50 and 1,125,967.50 is: 1,732,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,623.50 : 1,125,967.50 = 1,125,967.50 : x
  2. Step 2: Convert to fraction form
    731,623.50/1,125,967.50 = 1,125,967.50/x
  3. Step 3: Cross multiply
    731,623.50x = 1,125,967.50 × 1,125,967.50
  4. Step 4: Simplify right side
    731,623.50x = 1,267,802,811,056.25
  5. Step 5: Solve for x
    x = 1,267,802,811,056.25/731,623.50
  6. Step 6: Final answer
    x = 1,732,862.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.