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Finding the Third Proportional to 501,030.50 and 1,073,000.50

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Solution

The third proportional to 501,030.50 and 1,073,000.50 is: 2,297,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,030.50 : 1,073,000.50 = 1,073,000.50 : x
  2. Step 2: Convert to fraction form
    501,030.50/1,073,000.50 = 1,073,000.50/x
  3. Step 3: Cross multiply
    501,030.50x = 1,073,000.50 × 1,073,000.50
  4. Step 4: Simplify right side
    501,030.50x = 1,151,330,073,000.25
  5. Step 5: Solve for x
    x = 1,151,330,073,000.25/501,030.50
  6. Step 6: Final answer
    x = 2,297,924.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.