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Finding the Third Proportional to 734,923.50 and 1,154,878.50

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Solution

The third proportional to 734,923.50 and 1,154,878.50 is: 1,814,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,923.50 : 1,154,878.50 = 1,154,878.50 : x
  2. Step 2: Convert to fraction form
    734,923.50/1,154,878.50 = 1,154,878.50/x
  3. Step 3: Cross multiply
    734,923.50x = 1,154,878.50 × 1,154,878.50
  4. Step 4: Simplify right side
    734,923.50x = 1,333,744,349,762.25
  5. Step 5: Solve for x
    x = 1,333,744,349,762.25/734,923.50
  6. Step 6: Final answer
    x = 1,814,807.05

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