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Finding the Third Proportional to 708,946.25 and 1,089,700.50

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Solution

The third proportional to 708,946.25 and 1,089,700.50 is: 1,674,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,946.25 : 1,089,700.50 = 1,089,700.50 : x
  2. Step 2: Convert to fraction form
    708,946.25/1,089,700.50 = 1,089,700.50/x
  3. Step 3: Cross multiply
    708,946.25x = 1,089,700.50 × 1,089,700.50
  4. Step 4: Simplify right side
    708,946.25x = 1,187,447,179,700.25
  5. Step 5: Solve for x
    x = 1,187,447,179,700.25/708,946.25
  6. Step 6: Final answer
    x = 1,674,946.70

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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.