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Finding the Third Proportional to 506,301.75 and 1,107,175.50

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Solution

The third proportional to 506,301.75 and 1,107,175.50 is: 2,421,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,301.75 : 1,107,175.50 = 1,107,175.50 : x
  2. Step 2: Convert to fraction form
    506,301.75/1,107,175.50 = 1,107,175.50/x
  3. Step 3: Cross multiply
    506,301.75x = 1,107,175.50 × 1,107,175.50
  4. Step 4: Simplify right side
    506,301.75x = 1,225,837,587,800.25
  5. Step 5: Solve for x
    x = 1,225,837,587,800.25/506,301.75
  6. Step 6: Final answer
    x = 2,421,160.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.