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Finding the Third Proportional to 531,948 and 1,154,320.50

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Solution

The third proportional to 531,948 and 1,154,320.50 is: 2,504,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,948 : 1,154,320.50 = 1,154,320.50 : x
  2. Step 2: Convert to fraction form
    531,948/1,154,320.50 = 1,154,320.50/x
  3. Step 3: Cross multiply
    531,948x = 1,154,320.50 × 1,154,320.50
  4. Step 4: Simplify right side
    531,948x = 1,332,455,816,720.25
  5. Step 5: Solve for x
    x = 1,332,455,816,720.25/531,948
  6. Step 6: Final answer
    x = 2,504,861.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.